Recent publications (since 2007)

Syed Twareque Ali

Monographs and books:
  • Ali, S. T., Sinha, K. B. (EDT), Contributions in Mathematical Physics — A Tribute to Gerard G. Emch, New Dehli, Hindustan Book Agency, 2007.
Peer-reviewed journal articles:
  • Ali, S. T., Englis, M., « Matrix-valued Berezin–Toeplitz quantization », Journal of Mathematical Physics, 48:5 (May 2007), 053504, 14 pages.
  • Ali, S. T., Bagarello, F., « Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry », Journal of Mathematical Physics, 49:3 (March 2008), 032110, 17 pages.
  • Ali, S. T., Gazeau, J.-P., Heller, B., « Coherent states and Bayesian duality  », Journal of Physics A. Mathematical and Theoretical, 41:36 (August 2008), 365302, 22 pages.
  • Ali, S. T., Balkova, L., Curado, E. M. F., Gazeau, J.-P., Rego-Monteiro, M., Rodrigues, L. M. C., Sekihara, K., « Noncommutative reading of the complex plane through Delone sequences », Journal of Mathematical Physics, 50:4 (April 2009), 043517, 28 pages.
  • Ali, S. T., Carmeli, C., Heinosaari, T., Toigo, A., « Commutative POVMs and fuzzy observables », Foundations of Physics, 39:6 (June 2009), 593–612.
  • Honnouvo, G., Ali, S. T., « Gabor-type frames from generalized Weyl–Heisenberg groups », Bollettino di Matematica pura e applicata, 2 (December 2009), 69–96.
  • Hounkonnou, N., Ali, S. T., Goldin, G. A., Kerner, R., Sinha, K. B., Yoshioka, A., « Nonlinear and noncommutative mathematics: new developments and applications in quantum physics », Advances in Mathematical Physics, 2010 (2010), 497040, 4 pages.
  • Ali, S. T., « An interesting modular structure associated to Landau levels », Journal of Physics. Conference Series, 237, Symmetries in Science XIV (2010), 012001, 13 pages.
  • Ali, S. T., Bagarello, F., Honnouvo, G., « Modular structures on trace class operators and applications to Landau levels  », Journal of Physics A. Mathematical and Theoretical, 43:10 (March 2010), 105202, 17 pages.
  • Ali, S. T., Bagarello, F., Gazeau, J.-P., « Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons », Journal of Mathematical Physics, 51:12 (December 2010), 123502, 11 pages.
  • Ali, S. T., Englis, M., « Wigner transform and pseudodifferential operators on symmetric spaces of non-compact type », Journal of Physics A. Mathematical and Theoretical, 44:21 (May 2011), 215206, 17 pages.
  • Ali, S. T., Bhattacharyya, T., Roy, S. S., « Coherent states on Hilbert modules », Journal of Physics A. Mathematical and Theoretical, 44:27 (July 2011), 275202, 16 pages.
  • Chowdhury, S., Ali, S. T., « All the groups of signal analysis from the $(1+1)$-affine Galilei group », Journal of Mathematical Physics, 52:10 (October 2011), 103504, 18 pages.
Peer-reviewed conference proceedings:
  • Ali, S. T., Englis, M., « Berezin–Toeplitz quantization over matrix domains », in Contributions in Mathematical Physics — A Tribute to Gerard G. Emch, S. T. Ali, K. B. Sinha, ed., New Delhi, Hindustan Book Agency, 2007, 1–36.
Marco Bertola

Book chapters:
  • Bertola, M., Corbetta, F., Moschella, U., « Massless scalar field in a two-dimensional de Sitter universe », in Rigorous Quantum Field Theory, A. Boutet de Monvel, D. Buchholz, D. Iagolnitzer, U. Moschella, eds., Progress in Mathematics, Boston, MA, Birkhäuser, 2007.
Peer-reviewed journal articles:
  • Bertola, M., « Biorthogonal polynomials for two-matrix models with semiclassical potentials », Journal of Approximation Theory 144:2 (February 2007), 162–212.
  • Bertola, M., Gekhtman, M., « Effective inverse spectral problem for rational Lax matrices and applications », International Mathematics Research Notices, 2007:23 (October 2007), rnm103, 39 pages.
  • Bertola, M., Gekhtman, M., « Biorthogonal Laurent polynomials, Toplitz determinants, minimal Toda orbits and isomonodromic tau functions », Constructive Approximation, 26:3 (November 2007), 383–430.
  • Bertola, M., Prats-Ferrer, A., « Harish-Chandra integrals as nilpotent integrals », International Mathematics Research Notices, 2008:16 (2008), rnn062, 15 pages.
  • Bertola, M., Mo, M. Y., « Commuting difference operators, spinor bundles and the asymptotics of pseudo-orthogonal polynomials with respect to varying complex weights », Advances in Mathematics, 220:1 (January 2009), 154–218.
  • Bertola, M., « Moment determinants as isomonodromic tau functions », Nonlinearity, 22:1 (January 2009), 29–50.
  • Bertola, M., Marchal, O., « The partition function of the two-matrix model as an isomonodromic $\tau$ function  », Journal of Mathematical Physics, 50:1 (January 2009), 013529, 17 pages.
  • Bertola, M., Gekhtman, M., Szmigielski, J., « The Cauchy two-matrix model », Communications in Mathematical Physics, 287:3 (May 2009), 983–1014.
  • Bertola, M., Prats-Ferrer, A., « Topological expansion for the Cauchy two-matrix model », Journal of Physics A. Mathematical and Theoretical 42:33 (August 2009), 335201, 28 pages.
  • Bertola, M., Lee, S.-Y., Mo, M. Y., « Mesoscopic colonization of a spectral band  », Journal of Physics A. Mathematical and Theoretical, 42:41 (October 2009), 415204, 17 pages.
  • Bertola, M., Lee, S.-Y., « First colonization of a spectral outpost in random matrix theory  », Constructive Approximation, 30:2 (October 2009), 225–263.
  • Bertola, M., Gekhtman, M., Szmigielski, J., « Cubic string boundary value problems and Cauchy biorthogonal polynomials », Journal of Physics A. Mathematical and Theoretical 42:45 (November 2009), 454006, 13 pages.
  • Balogh, F., Bertola, M., « Regularity of a vector potential problem and its spectral curve  », Journal of Approximation Theory, 161:1 (November 2009), 353–370.
  • Bertola, M., Tovbis, A., « Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve », International Mathematics Research Notices, 2010:11 (2010), 2119–2167.
  • Bertola, M., « The dependence on the monodromy data of the isomonodromic tau function  », Communications in Mathematical Physics, 294:2 (March 2010), 539–579.
  • Bertola, M., Lee, S.-Y., « First colonization of a hard-edge in random matrix theory  », Constructive Approximation, 31:2 (April 2010), 231–257.
  • Bertola, M., Gekhtman, M., Szmigielski, J., « Cauchy biorthogonal polynomials », Journal of Approximation Theory 162:4 (April 2010), 832–867.
  • Bertola, M., « Boutroux curves with external field: equilibrium measures without a minimization problem », Analysis and Mathematical Physics, 1:2-3 (September 2011), 167–211.
  • Bertola, M., Cafasso, M., « Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation », Communications in Mathematical Physics, 309:3 (February 2012), 793–833.
  • Bertola, M., Cafasso, M., « The transition between the gap probabilities from the Pearcey to the Airy process: a Riemann–Hilbert approach », International Mathematics Research Notices (XXXX), accepted.
Research reports:
  • Balogh, F., Bertola, M., « On the norms and roots of orthogonal polynomials in the plane and $L^p$-optimal polynomials with respect to varying weights », arXiv:0910.4223, October 2009, 14 p.
  • Bertola, M., Tovbis, A., « Universality for the focusing nonlinear Schroedinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquee solution to Painleve I », arXiv:1004.1828, April 2010, 63 p.
  • Bertola, M., Buckingham, R., Lee, S.-Y., Pierce, V., « Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes », arXiv:1009.3894, September 2010, 41 p.
  • Bertola, M., Buckingham, R., Lee, S.-Y., Pierce, V., « Spectra of random Hermitian matrices with a small-rank external source: The critical and near-critical regimes », arXiv:1011.4983, November 2010, 44 p.
  • Bertola, M., Cafasso, M., « Riemann–Hilbert approach to multi-time processes; the Airy and the Pearcey case », arXiv:1104.4940, April 2011, 18 p.
  • Bertola, M., Tovbis, A., « Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behaviour and the first Painlevé equation », arXiv:1108.0321, August 2011, 53 p.
Robert Brandenberger

Book chapters:
  • Brandenberger, R., « Conceptual problems of inflationary cosmology and a new approach to cosmological structure formation », in Inflationary Cosmology, M. Lemoine, J. Martin, P. Peter, eds., Lecture Notes in Physics, Berlin, Springer, 2007.
  • Brandenberger, R., « String gas cosmology », in String Cosmology, J. Erdmenger, eds., Berlin, Wiley-VCH, 2009.
Peer-reviewed journal articles:
  • Brandenberger, R., « Alternatives to Cosmological Inflation », Physics Today (March 2008), 44–49.
  • Cai, Y.-F., Qiu, T., Brandenberger, R., Piao, Y.-S., Zhang, X., « On perturbations of quintom bounce », Journal of Cosmology and Astroparticle Physics, 2008:3 (March 2008), 013, 24 pages.
  • Martineau, P., Brandenberger, R., « A back-reaction induced lower bound on the tensor-to-scalar ratio », Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 23:10 (March 2008), 727–735.
  • Brandenberger, R., Firouzhaji, H., Karouby, J., « Lensing and CMB anisotropies by cosmic strings at a junction », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 77:8 (April 2008), 083502, 7 pages.
  • Amsel, S., Berger, J., Brandenberger, R., « Detecting cosmic strings in the CMB with the Canny algorithm », Journal of Cosmology and Astroparticle Physics, 2008:4 (April 2008), 015, 14 pages.
  • Stewart, A., Brandenberger, R., « Observational constraints on theories with a blue spectrum of tensor modes », Journal of Cosmology and Astroparticle Physics, 2008:8 (August 2008), 012, 10 pages.
  • Danos, R. J., Frey, A. R., Brandenberger, R., « Stabilizing moduli with thermal matter and nonperturbative effects », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 77:12 (November 2008), 126009.
Peer-reviewed conference proceedings:
  • Brandenberger, R., « Conceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation », in Inflationary Cosmology, Lecture Notes in Physics, Volume 73, inflation + 25, 22e Colloque de l’IAP, Springer-Verlag Berlin Heidelberg, 2008, 393.
Robert Conte

Monographs and books:
  • Conte, R., Musette, M., The Painlevé handbook, Springer, Dordrecht, 2008.
Peer-reviewed journal articles:
  • Rogers, C., Chow, K. W., Conte, R., « On a capillarity model and the Davey-Stewartson I system: Quasi-doubly periodic wave patterns », Il Nuovo Cimento della Società Italiana di Fisica B, 122:1 (2007), 105–111.
  • Conte, R., « Partial integrability of the anharmonic oscillator », Journal of Nonlinear Mathematical Physics, 14:3 (October 2007), 462–473.
  • Conte, R., Rogers, C., Schief, W. K., « Painlevé structure of a multi-ion electrodiffusion system », Journal of Physics A. Mathematical and Theoretical, 40:48 (November 2007), F1031-F1040.
  • Conte, R., Chow, K. W., « Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity », Journal of Nonlinear Mathematical Physics, 15:4 (2008), 398–409.
  • Conte, R., « A closed-form solution in a dynamical system related to Bianchi IX », Physics Letters. A, 372:13 (March 2008), 2269–2270.
  • Conte, R., Grundland, A. M., Huard, B., « Elliptic solutions of isentropic ideal compressible fluid flow in $(3+1)$ dimensions », Journal of Physics A. Mathematical and Theoretical 42:13 (April 2009), 135203, 14 pages.
  • Conte, R., Bugaychuk, S., « Explicit solutions of the four-wave mixing model », Journal of Physics A. Mathematical and Theoretical, 42:19 (May 2009), 192003, 14 pages.
  • Conte, R., Bugaychuk, S., « Explicit solutions of the four-wave mixing model », Journal of Physics A. Mathematical and Theoretical, 42:19 (May 2009), 192003, 14 pages.
  • Conte, R., Grundland, A. M., Huard, B., « Riemann-invariant solutions of the isentropic fluid flow equations », Theoretical and Mathematical Physics, 159:3 (June 2009), 752–762.
  • Conte, R., Musette, M., « Elliptic general analytic solutions », Studies in Applied Mathematics, 123:1 (July 2009), 63–81.
  • Bugaychuk, S., Conte, R., « Ginzburg–Landau equation for dynamical four-wave mixing in gain nonlinear media with relaxation », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 80:6 (December 2009), 066603, 7 pages.
  • Zhao, J.-x., Conte, R., « A connection between HH3 and KdV with one source », Journal of Mathematical Physics, 51:3 (March 2010), 033511, 6 pages.
  • Conte, R., Ng, T.-W., « Meromorphic solutions of a third order nonlinear differential equation  », Journal of Mathematical Physics 51:3 (March 2010), 033518, 9 pages.
Peer-reviewed conference proceedings:
  • Conte, R., « On the Lax pairs of the sixth Painlevé equation. Algebraic, analytic and geometric aspects of complex differential equations and their deformations. Painlevé hierarchies », in Algebraic, analytic and geometric aspects of complex differential equations and their deformations. Painlevé hierarchies. , (Kyoto, 2006), RIMS Kôkyûroku Bessatsu, vol. B2, Kyoto, Res. Inst. Math. Sci. (RIMS), 2007, 21–27.
  • Conte, R., « Analytic patterns for chaotic equations », in Internat. J. Modern Phys. B, no. 23-24, 2007, 3918–3924.
  • Conte, R., Grundland, A. M., Musette, M., « Reduction of the three-wave resonant interaction to the sixth Painlevé equation », WSPC-Proceedings of Conference on Asymptotic Methods in Nonlinear Wave Phenomena, T. Ruggeri, M. Sammartino, ed., World Scientific, Singapore, 2007.
  • Conte, R., Grundland, A. M., Musette, M., « Reduction of the three-wave resonant interaction to the sixth Painlevé equation », in Asymptotic Methods in Nonlinear Wave Phenomena, Conference on Asymptotic Methods in Nonlinear Wave Phenomena (Palermo, 2006), T. Ruggeri, M. Sammartino, ed., Singapore, World Sci. Publ., 2007, 67–78.
  • Conte, R., Bugaychuk, S., « Analytic structure of the four-wave mixing model in photoreactive material », WASCOM 2007-14th Conference on Waves and Stability in Continuous Medi, Hackensack, NJ, World Sci. Publ., 2008.
  • Nguyen, H. Y., Dias, F., Conte, R., « Exact internal waves of a Boussinesq system », in Waves and Stability in Continuous Media, 15th Conference on WASCOM 2009 (Palermo, 2009), A. M. Greco, S. Rionero, T. Ruggeri, eds., Singapore, World Sci. Publishing, 2010, 109–119.
Chris J. Cummins

Peer-reviewed journal articles:
  • Cummins, C. J., « On conjugacy classes of congruence subgroups of $\operatorname{PSL}(2, \mathbb{R})$ », LMS Journal of Computation and Mathematics, 12 (January 2009), 264–274.
  • Cummins, C. J., « Cusp form like $\Delta$ », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 52:1 (March 2009), 53–62.
  • Cummins, C. J., « Fundamental domains for genus-zero and genus-one congruence subgroups », LMS Journal of Computation and Mathematics, 13 (2010), 222–245.
  • Cummins, C. J., Sabetghadam Haghighi, N., « On Fourier coefficients of modular forms », Bulletin of the Australian Mathematical Society, 83:1 (February 2011), 50–62.
  • Duncan, J., Cummins, C. J., « An E8 correspondence for multiplicative eta-products », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 55:1 (March 2012), 67–72.
  • Cummins, C. J., « Torsion-free, genus-one congruence of $\operatorname{PSL}(2,R)$ and multiplicative $\eta$ product », The Rocky Mountain Journal of Mathematics (XXXX), accepted.
  • Cummins, C. J., Sabetghadam Haghighi, N., « On a signature of a class of congruence subgroup », The Rocky Mountain Journal of Mathematics (XXXX), accepted.
Peer-reviewed conference proceedings:
  • Cummins, C. J., Sabetghadam Haghighi, N., « On a class of congruence subgroups », in Groups and Symmetries, Groups and Symmetries: From Neolithic Scots to John McKay (Montréal, QC, 2007), J. Harnad, P. Winternitz, ed., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2009, 105–110.
Keshav Dasgupta

Peer-reviewed journal articles:
  • Dasgupta, K., Hussin, V., Wissanji, A., « Quaternionic Kähler manifolds, constrained instantons and the magic square. I », Nuclear Physics B, 793:1-2 (April 2008), 34–82.
Bertrand Eynard

Peer-reviewed journal articles:
  • Eynard, B., Orantin, N., Marino, M., « Holomorphic anomaly and matrix models », Journal of High Energy Physics, 2007 (2007), JHEP06.
  • Eynard, B., Orantin, N., « Topological expansion and boundary conditions », Journal of High Energy Physics, 2008 (2008), JHEP06.
  • Eynard, B., « All orders asymptotic expansion of large partitions », Journal of Statistical Mechanics. Theory and Experiment 2008 (July 2008), P07023, 34 pages.
  • Eynard, B., Prats-Ferrer, A., « Topological expansion of the chain of matrices », Journal of High Energy Physics, 2009 (2009).
  • Eynard, B., Marchal, O., « Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry », Journal of High Energy Physics, 2009 (2009).
  • Bergère, M., Eynard, B., « Some properties of angular integrals », Journal of Physics A. Mathematical and Theoretical, 42:26 (2009), 265201, 32 pages.
  • Eynard, B., « Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence », Journal of High Energy Physics, 2009 (2009), JHEP03.
  • Eynard, B., « A matrix model for plane partitions », Journal of Statistical Mechanics. Theory and Experiment 2009 (October 2009), P10011, 72 pages.
Research reports:
  • Eynard, B., Orantin, N., « Invariants of algebraic curves and topological expansion », arXiv:math-ph/0702045, February 2007, 92 p.
  • Eynard, B., Orantin, N., « Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models », arXiv:0705.3600, May 2007, 9 p.
  • Eynard, B., Orantin, N., « Topological expansion of mixed correlations in the Hermitian 2-matrix model and $x$–$y$ symmetry of the $F_g$ invariants », arXiv:0705.0958, May 2007, 37 p.
  • Eynard, B., « Recursion between Mumford volumes of moduli spaces », arXiv:0706.4403, June 2007, 18 p.
  • Eynard, B., Marino, M., « A holomorphic and background independent partition function for matrix models and topological strings », arXiv:0810.4273, October 2008, 40 p.
  • Eynard, B., Orantin, N., « Algebraic methods in random matrices and enumerative geometry », arXiv:0811.3531, November 2008, 139 p.
  • Bergère, M., Eynard, B., « Determinantal formulae and loop equations », arXiv:0901.3273, January 2009, 35 p.
  • Borot, G., Eynard, B., Mulase, M., Safnuk, B., « A matrix model for simple Hurwitz numbers, and topological recursion », arXiv:0906.1206, June 2009, 24 p.
  • Bergère, M., Eynard, B., « Universal scaling limits of matrix models, and (p,q) Liouville gravity », arXiv:0909.0854, September 2009, 44 p.
  • Borot, G., Eynard, B., « Enumeration of maps with self avoiding loops and the O(n) model on random lattices of all topologies », arXiv:0910.5896, October 2009, 89 p.
  • Eynard, B., Orantin, N., « Geometrical interpretation of the topological recursion, and integrable string theories », arXiv:0911.5096, November 2009, 57 p.
  • Desrosiers, P., Eynard, B., « Supermatrix models, loop equations, and duality », arXiv:0911.1762, November 2009, 27 p.
  • Eynard, B., Kashani-Poor, A.-K., Marchal, O., « A matrix model for the topological string I: Deriving the matrix model », arXiv:1003.1737v2, 2010.
Jean-Pierre Gazeau

Monographs and books:
  • Gazeau, J.-P., Coherent States in Quantum Physics , Wiley-VCH Verlag GmbH, 2009.
Book chapters:
  • Gazeau, J.-P., Siegl, P., Youssef, A., García de León, P. L., Quéva, J., « Coherent state or frame quantization », in Coherent States in Quantum Physics, J.-P. Gazeau, eds., Weinheim, Wiley-VCH Verlag GmbH & Co. KGaA, 2009.
Peer-reviewed journal articles:
  • García de León, P. L., Gazeau, J.-P., « Coherent state quantization and phase operator », Physics Letters. A, 361:4-5 (2007), 301–304.
  • Gazeau, J.-P., Huguet, E., Lachièze-Rey, M., Renaud, J., « Fuzzy spheres from inequivalent coherent states quantizations  », Journal of Physics A. Mathematical and Theoretical, 40:33 (August 2007), 10225–10249.
  • Bogdanova, I., Vandergheynst, P., Gazeau, J.-P., « Continuous wavelet transform on the hyperboloid  », Applied and Computational Harmonic Analysis, 23:3 (November 2007), 285–306.
  • Garidi, T., Gazeau, J.-P., Takook, M. V., Rouhani, S., « “Massless” vector field in de Sitter universe », Journal of Mathematical Physics, 49:3 (March 2008), 032501, 25 pages.
  • García de León, P. L., Gazeau, J.-P., Quéva, J., « Infinite quantum well: a coherent state approach  », Physics Letters. A, 372:20 (May 2008), 3597–3607.
  • Gazeau, J.-P., Novello, M., « The question of mass in (anti-) de Sitter spacetimes  », Journal of Physics A. Mathematical and Theoretical, 41:30 (August 2008), 304008, 14 pages.
  • Ali, S. T., Gazeau, J.-P., Heller, B., « Coherent states and Bayesian duality  », Journal of Physics A. Mathematical and Theoretical, 41:36 (August 2008), 365302, 22 pages.
  • Ali, S. T., Balkova, L., Curado, E. M. F., Gazeau, J.-P., Rego-Monteiro, M., Rodrigues, L. M. C., Sekihara, K., « Noncommutative reading of the complex plane through Delone sequences », Journal of Mathematical Physics, 50:4 (April 2009), 043517, 28 pages.
  • Gazeau, J.-P., Baldiotti, M. C., Gitman, D. M., « Coherent states of a particle in a magnetic field and the Stieltjes moment problem », Physics Letters A 373:22 (May 2009), 1916–1920.
  • Baldiotti, M. C., Gazeau, J.-P., Gitman, D. M., « Semiclassical and quantum motions on the non-commutative plane », Physics Letters A, 373:43 (October 2009), 3937–3943.
  • Gazeau, J.-P., Siegl, P., Youssef, A., « Krein spaces in de Sitter quantum theories  », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 6 (2010), 011, 23 pages.
  • Gazeau, J.-P., Baldiotti, M. C., Gitman, D. M., « Coherent state quantization and moment problem », Acta Polytechnica, 50:3, Selected Topics in Mathematical and Particle Physics, Prague, May 5–7, 2009 (2010), 30–36.
  • Gazeau, J.-P., Toppan, F., « A natural fuzzyness of de Sitter spacetime  », Classical and Quantum Gravity, 27:2 (January 2010), 025004, 13 pages.
  • Gazeau, J.-P., Youssef, A., « A discrete nonetheless remarkable brick in de Sitter: The “massless minimally coupled field” », Physics of Atomic Nuclei, 73:2 (February 2010), 222–229.
  • Cotfas, N., Gazeau, J.-P., « Finite tight frames and some applications  », Journal of Physics A. Mathematical and Theoretical, 43:19 (April 2010), 193001, 26 pages.
  • Cotfas, N., Gazeau, J.-P., Gorska, K., « Complex and real Hermite polynomials and related quantizations  », Journal of Physics A. Mathematical and Theoretical, 43:30 (June 2010), 305304, 14 pages.
  • Curado, E. M. F., Gazeau, J.-P., Rodrigues, L. M. C., « Nonlinear coherent states for optimizing quantum information  », Physica Scripta, 82:3 (August 2010), 038108, 9 pages.
  • El Baz, M., Fresneda, R., Gazeau, J.-P., Hassouni, Y., « Coherent state quantization of paragrassmann algebras », Journal of Physics A. Mathematical and Theoretical, 43:38 (September 2010), 385202, 15 pages.
  • Ali, S. T., Bagarello, F., Gazeau, J.-P., « Modified Landau levels, damped harmonic oscillator, and two-dimensional pseudo-bosons », Journal of Mathematical Physics, 51:12 (December 2010), 123502, 11 pages.
  • Bergeron, H., Gazeau, J.-P., Siegl, P., Youssef, A., « Semi-classical behavior of Pöschl–Teller coherent states  », EPL, 92:6 (December 2010), 60003, 5 pages.
Peer-reviewed conference proceedings:
  • Gazeau, J.-P., « An introduction to Quantum Field Theory in de Sitter space-time », in Cosmology and Gravitation, XIITH BRAZILIAN SCHOOL OF COSMOLOGY AND GRAVITATION, Mario Novello
    Santiago E. Perez Bergliaffa, Santiago E. Perez Bergliaffa, ed., AIP Conference Proceedings, Springer-Verlag GmbH, 2007.
Alfred Michel Grundland

Peer-reviewed journal articles:
  • Grundland, A. M., Huard, B., « Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs », Journal of Physics A. Mathematical and Theoretical, 40:15 (April 2007), 4093–4123.
  • Grundland, A. M., Huard, B., « Rank-$k$ solutions of hydrodynamic-type systems », Theoretical and Mathematical Physics, 152:1 (July 2007), 948–962.
  • Grundland, A. M., Huard, B., « Rank-$k$ solutions of hydrodynamic-type systems », Theoretical and Mathematical Physics, 152:1 (July 2007), 948–962.
  • Grundland, A. M., Hariton, A. J., « A supersymmetric version of a Gaussian irrotational compressible fluid flow », Journal of Physics A. Mathematical and Theoretical, 40:50 (December 2007), 15113–15129.
  • Grundland, A. M., Hereman, W., Yurdusen, I., « Conformally parametrized surfaces associated with $\mathbb{C}P^{N-1}$ sigma models », Journal of Physics A. Mathematical and Theoretical, 41:6 (February 2008), 065204, 28 pages.
  • Grundland, A. M., Hariton, A. J., « Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions », Journal of Mathematical Physics 49:4 (April 2008), 043502, 21 pages.
  • Grundland, A. M., Yurdusen, I., « Surfaces obtained form $\mathbb{C}P^{N-1}$ sigma models », International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics, 23:32 (December 2008), 5137–5157.
  • Conte, R., Grundland, A. M., Huard, B., « Elliptic solutions of isentropic ideal compressible fluid flow in $(3+1)$ dimensions », Journal of Physics A. Mathematical and Theoretical 42:13 (April 2009), 135203, 14 pages.
  • Grundland, A. M., Yurdusen, I., « On analytic descriptions of two-dimensional surfaces associated with the $\mathbb{C}P^{N- 1}$ sigma model », Journal of Physics A. Mathematical and Theoretical, 42:17 (May 2009), 172001, 5 pages.
  • Conte, R., Grundland, A. M., Huard, B., « Riemann-invariant solutions of the isentropic fluid flow equations », Theoretical and Mathematical Physics, 159:3 (June 2009), 752–762.
  • Grundland, A. M., Hariton, A. J., « $N = 2$ supersymmetric extension of a hydrodynamic system in Riemann invariants », Journal of Mathematical Physics, 50:7 (July 2009), 073508, 21 pages.
  • Grundland, A. M., Hariton, A. J., Snobl, L., « Invariant solutions of the supersymmetric sine-Gordon equation », Journal of Physics A. Mathematical and Theoretical 42:33 (August 2009), 335203, 23 pages.
  • Grundland, A. M., Hariton, A. J., Šnobl, L., « Invariant solutions of the supersymmetric sine-Gordon equation », Journal of Physics A. Mathematical and Theoretical, 42:33 (August 2009), 335203, 23 pages.
  • Goldstein, P. P., Grundland, A. M., « Invariant recurrence relations for $\mathbb{C}P^{N-1}$ models  », Journal of Physics A. Mathematical and Theoretical
    , 43:26 (July 2010), 265206, 18 pages.
  • Grundland, A. M., Huard, B., « Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems », Journal of Physics A. Mathematical and Theoretical 43:45 (November 2010), 455217, 16 pages.
  • Goldstein, P. P., Grundland, A. M., « On surfaces associated with $\mathbb{C}P^{N-1}$ sigma models », Journal of Physics. Conference Series, 284, GROUP 28: Physical and Mathematical Aspects of Symmetry (2011), 012031, 9 pages.
  • Grundland, A. M., Hariton, A. J., Šnobl, L., « Invariant solutions of supersymmetric nonlinear wave equations », Journal of Physics A. Mathematical and Theoretical, 44:8 (February 2011), 085204, 22 pages.
  • Grundland, A. M., Post, S., « Soliton surfaces associated with generalized symmetries of integrable equations », Journal of Physics A. Mathematical and Theoretical, 44:16 (April 2011), 165203, 31 pages.
  • Grundland, A. M., Hariton, A. J., « Supersymmetric formulation of polytropic gas dynamics and its invariant solutions », Journal of Mathematical Physics, 52:4 (April 2011), 043501, 21 pages.
  • Goldstein, P. P., Grundland, A. M., « Invariant description of $\mathbb{CP}^{N−1}$ sigma models », Theoretical and Mathematical Physics, 168:1 (July 2011), 939–950.
  • Goldstein, P. P., Grundland, A. M., « Invariant description of $\mathbb{CP}^{N-1}$ sigma models », Theoretical and Mathematical Physics, 168:1 (July 2011), 939–950.
Peer-reviewed conference proceedings:
  • Conte, R., Grundland, A. M., Musette, M., « Reduction of the three-wave resonant interaction to the sixth Painlevé equation », WSPC-Proceedings of Conference on Asymptotic Methods in Nonlinear Wave Phenomena, T. Ruggeri, M. Sammartino, ed., World Scientific, Singapore, 2007.
  • Conte, R., Grundland, A. M., Musette, M., « Reduction of the three-wave resonant interaction to the sixth Painlevé equation », in Asymptotic Methods in Nonlinear Wave Phenomena, Conference on Asymptotic Methods in Nonlinear Wave Phenomena (Palermo, 2006), T. Ruggeri, M. Sammartino, ed., Singapore, World Sci. Publ., 2007, 67–78.
Richard L. Hall

Peer-reviewed journal articles:
  • Marin-Antuna, J. M., Hall, R. L., Saad, N., « Wave equation and dispersion relations for a compressible rotating fluid », Physics Letters. A 362:1 (February 2007), 57–60.
  • Saad, N., Hall, R. L., Ciftci, H., « Solutions for certain classes of the Riccati differential equation », Journal of Physics A. Mathematical and Theoretical, 40:35 (August 2007), 10903–10914.
  • Katatbeh, Q. D., Hall, R. L., Saad, N., « Eigenvalue bounds for polynomial central potentials in $d$ dimensions », Journal of Physics A. Mathematical and Theoretical, 40:44 (November 2007), 13431–13442.
  • Hall, R. L., « Solutions to the 1d Klein-Gordon equation with cut-off Coulomb potentials », Physics Letters. A 372:1 (December 2007), 12–15.
  • Hall, R. L., Saad, N., Champion, B., « Asymptotic iteration method for singular potentials  », International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics, 23:9 (April 2008), 1405–1415.
  • Hall, R. L., « Special comparison theorem for the Dirac equation  », Physical Review Letters, 101:9 (August 2008), 090401, 2 pages.
  • Saad, N., Hall, R. L., Ciftci, H., « The Klein-Gordon equation with the Kratzer potential in $d$ dimensions  », Central European Journal of Physics, 6:3 (September 2008), 717–729.
  • Hall, R. L., Lucha, W., « Semirelativistic stability of $N$-boson systems bound by $1/r_{ij}$ pair potentials », Journal of Physics A. Mathematical and Theoretical, 41:35 (September 2008), 355202, 10 pages.
  • Hall, R. L., Aliyu, M., « Comparison theorems for the Klein–Gordon equation in $d$ dimensions », Physical Review A. Atomic, Molecular, and Optical Physics, 78:5 (November 2008), 052115, 3 pages.
  • Ciftci, H., Hall, R. L., Saad, N., « Study of a confined hydrogen-like atom by the asymptotic iteration method », International Journal of Quantum Chemistry, 109:5 (2009), 931–937.
John Harnad

Monographs and books:
  • Harnad, J., Winternitz, P. (EDT), Groups and Symmetries: From Neolithic Scots to John McKay 47, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2009.
  • Harnad, J. (EDT), Random Matrices, Random Processes and Integrable Systems, CRM Series in Mathematical Physics, New York, Springer, 2010.
Peer-reviewed journal articles:
  • Harnad, J., Orlov, A. Y., « Fermionic construction of partition function for multimatrix models and multicomponent Toda lattice hierarchy », Theoretical and Mathematical Physics, 152:2 (August 2007), 1099–1110.
  • Harnad, J., Orlov, A. Y., « Fermionic construction of tau functions and random processes », Physica D: Nonlinear Phenomena, 235:1-2 (November 2007), 168–206.
  • Harnad, J., Hurtubise, J., « Multi-Hamiltonian structures for $r$-matrix systems », Journal of Mathematical Physics, 49:6 (June 2008), 062903, 21 pages.
  • Harnad, J., Hurtubise, J., « Multi-Hamiltonian structures for $r$-matrix systems », Journal of Mathematical Physics, 49:6 (June 2008), 062903, 21 pages.
  • Harnad, J., Orlov, A. Y., « Fermionic approach for evaluating integrals of rational symmetric functions », Theoretical and Mathematical Physics, 158:1 (January 2009), 17–39.
  • Balogh, F., Harnad, J., « Superharmonic perturbations of a Gaussian potential, equilibrium measures and orthogonal polynomials », Complex Analysis and Operator Theory, 3:2, Björn Gustafsson Festschrift (May 2009), 333–360.
  • Harnad, J., Enolskii, V., « Schur function expansions of KP $\tau$ functions associated to algebraic curves », Russian Mathematical Surveys, 66:4 (2011), 767–807.
  • Harnad, J., van de Leur, J., Orlov, A. Y., « Multiple sums and integrals as neutral BKP tau functions », Theoretical and Mathematical Physics, 168:1 (July 2011), 951–962.
  • Harnad, J., Orlov, A. Y., « Integrals of rational symmetric functions, two-matrix models and biorthogonal polynomials », Journal of Mathematical Physics (XXXX), accepted.
Other journal articles:
  • Harnad, J., « Free for all », Physics World, 21:12 (December 2008), 16–17.
Peer-reviewed conference proceedings:
  • Harnad, J., « Convolution symmetries and $\tau$ functions », in Random Matrix Theory, Interacting Particle Systems and Integrable Systems, Random Matrix Theory, Interacting Particle Systems and Integrable Systems (Berkeley, 2010), P. Forrester, P. Deift, ed., Mathematical Sciences Research Institute Publications, Cambridge, Cambridge Univ. Press, XXXX, accepted.
Jacques Hurtubise

Book chapters:
  • Charbonneau, B., Hurtubise, J., « The Nahm transform for calorons », in The Many Facets of Geometry, J.-P. Bourguignon, O. Garcia-Prada, S. Salamon, eds., Oxford, Oxford Univ. Press, 2010.
Peer-reviewed journal articles:
  • Hurtubise, J., « Separation of variables and the geometry of Jacobians », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 3, Vadim Kuznetsov Memorial Issue (2007), 017, 14 pages.
  • Harnad, J., Hurtubise, J., « Multi-Hamiltonian structures for $r$-matrix systems », Journal of Mathematical Physics, 49:6 (June 2008), 062903, 21 pages.
  • Charbonneau, B., Hurtubise, J., « Calorons, Nahm's equations on $S^1$ and bundles over $\mathbb{P}^1 \times \mathbb{P}^1$ », Communications in Mathematical Physics, 280:2 (June 2008), 315–349.
  • Harnad, J., Hurtubise, J., « Multi-Hamiltonian structures for $r$-matrix systems », Journal of Mathematical Physics, 49:6 (June 2008), 062903, 21 pages.
  • Hurtubise, J., « On the geometry of isomonodromic deformations », Journal of Geometry and Physics, 58:10 (October 2008), 1394–1406.
  • Biswas, I., Huisman, J., Hurtubise, J., « The moduli space of stable vector bundles over a real algebraic curve », Mathematische Annalen, 347:1 (2010), 201–233.
  • Charbonneau, B., Hurtubise, J., « Singular Hermitian–Einstein monopoles on the product of a circle and a Riemann surface », International Mathematics Research Notices, 2011:1 (2011), 175–216.
  • Biswas, I., Hurtubise, J., « Projective structure and Higgs bundles on surfaces », International Journal of Geometric Methods in Modern Physics, 8:2 (March 2011), 367–379.
  • Biswas, I., Hurtubise, J., Raina, A. K., « Rank one connections on abelian varieties », International Journal of Mathematics, 22:11 (November 2011), 1529–1543.
  • Biswas, I., Hurtubise, J., « Universal vector bundle over the reals », Transactions of the American Mathematical Society, 363 (December 2011), 6531–6548.
  • Biswas, I., Hurtubise, J., Stasheff, J., « A construction of the universal connection », Forum Mathematicum (XXXX), accepted.
  • Biswas, I., Hurtubise, J., « Real projective structures on a real curve », Indagationes Mathematicae. New Series (XXXX), accepted.
Research reports:
  • Bhosle, U., Biswas, I., Hurtubise, J., « Grassmannian framed sheaves and generalized parabolic structures », arXiv:1202.4239, February 2012, 42 p.
Véronique Hussin

Peer-reviewed journal articles:
  • Dello Sbarba, L., Hussin, V., « Degenerate discrete energy spectra and associated coherent states », Journal of Mathematical Physics, 48:1 (January 2007), 012110, 15 pages.
  • Fernandez, D. J., Hussin, V., Rosas-Ortiz, O., « Coherent states for Hamiltonians generated by supersymmetry », Journal of Physics A. Mathematical and Theoretical, 40:24 (June 2007), 6491–6511.
  • Fernandez, D. J., Rosas-Ortiz, O., Hussin, V., « Coherent states for SUSY partner Hamiltonians », Journal of Physics. Conference Series, 128, 5th International Symposium on Quantum Theory and Symmetries (2008), 012023, 11 pages.
  • Dasgupta, K., Hussin, V., Wissanji, A., « Quaternionic Kähler manifolds, constrained instantons and the magic square. I », Nuclear Physics B, 793:1-2 (April 2008), 34–82.
  • Angelova, M., Hussin, V., « Generalized and Gaussian coherent states for the Morse potential », Journal of Physics A. Mathematical and Theoretical, 41:30 (August 2008), 304016, 13 pages.
  • Kiselev, A., Hussin, V., « Hirota's virtual multi-soliton solutions of $N=2$ supersymmetric Korteweg–de Vries equations », Theoretical and Mathematical Physics, 159:3 (June 2009), 833–841.
  • Hussin, V., Kiselev, A. V., Krutov, A. O., Wolf, T., « $N=2$ supersymmetric $a=4$-Korteweg–de Vries hierarchy derived via Gardner's deformation of Kaup–Boussinesq equation », Journal of Mathematical Physics, 51:8 (August 2010), 083507, 19 pages.
  • Hussin, V., Yurduşen, I., Zakrzewski, W. J. M., « Canonical surfaces associated with projectors in Grassmannian sigma models », Journal of Mathematical Physics 51:10 (October 2010), 103509, 15 pages.
  • Hussin, V., Marquette, I., « Generalized Heisenberg algebras, SUSYQM and degeneracies: Infinite well and Morse potential », SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 7, Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (2011), 024, 16 pages.
  • Hussin, V., Kiselev, A., « A convenient criterion under which $\mathbb{Z}_2$-graded operators are Hamiltonian », Journal of Physics: Conference Series, 284, GROUP 28: Physical and Mathematical Aspects of Symmetry (April 2011), 012035, 6 pages.
  • Delisle, L., Hussin, V., « New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods », Journal of Physics. Conference Series, 343 (2012), 012030, 7 pages.
  • Angelova, M., Hertz, A., Hussin, V., « Squeezed coherent states and the one-dimensional Morse quantum system », Physica A. Statistical Mechanics and its Applications (XXXX), accepted.
Research reports:
  • Angelova, M., Hussin, V., « Squeezed coherent states and the Morse quantum system », arXiv:1010.3277, October 2010.
  • Delisle, L., Hussin, V., « Links between symmetry reduction and Hirota methods of the $\mathcal{N}=2$ susy KdV equation », arXiv:1104.0590, April 2011.
Alexander R. Its

Peer-reviewed journal articles:
  • Elgin, J. N., Enolskii, V., Its, A. R., « Effective integration of the nonlinear vector Schrödinger equation », Physica D. Nonlinear Phenomena 225:2 (2007), 127–152.
  • Deift, P., Its, A. R., Krasovsky, I. V., Zhou, X., « The Widom-Dyson constant for the gap probability in random matrix theory », Journal of Computational and Applied Mathematics, 202:1 (May 2007), 26–47.
Dmitry Jakobson

Monographs and books:
  • Jakobson, D., Nonnenmacher, S., Polterovich, I. (EDT), Spectrum and Dynamics 52, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010.
Peer-reviewed journal articles:
  • Jakobson, D., Polterovich, I., Toth, J. A., « A lower bound for the remainder in Weyl’s law on negatively curved surfaces », International Mathematics Research Notices, 2007 (2007), rnm142, 38 pages.
  • Eremenko, A., Jakobson, D., Nadirashvili, N., « On nodal sets and nodal domains on $S^2$ and $\mathbb{R}^2$ », Annales de l'Institut Fourier, 57:7 (2007), 2345–2360.
  • Jakobson, D., Strohmaier, A., « High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows », Communications in Mathematical Physics, 270:3 (March 2007), 813–833.
  • Jakobson, D., Polterovich, I., « Estimates from below for the spectral function and for the remainder in local Weyl's law », Geometric and Functional Analysis, 17:3 (September 2007), 806–838.
  • Jakobson, D., Polterovich, I., « Estimates from below for the spectral function and for the remainder in local Weyl's law », Geometric and Functional Analysis, 17:3 (September 2007), 806–838.
  • Jakobson, D., Strohmaier, A., Zelditch, S., « On the spectrum of geometric operators on Kähler manifolds », Journal of Modern Dynamics, 2:4 (October 2008), 701–718.
  • Jakobson, D., Mangoubi, D., « Tubular neighborhoods of nodal sets and Diophantine approximation », American Journal of Mathematics, 131:4 (August 2009), 1109–1135.
  • Jakobson, D., Naud, F., « Lower bounds for resonances of infinite-area Riemann surfaces », Analysis & PDE, 3:2 (2010), 207–225.
  • Canzani, Y., Jakobson, D., Wigman, I., « Scalar curvature and $Q$-curvature of random metrics », Electronic Research Announcements in Mathematical Sciences, 17 (July 2010), 43–56.
Research reports:
  • Canzani, Y., Jakobson, D., Wigman, I., « Scalar curvature and $Q$-curvature of random metrics », arXiv:1002.0030, February 2010.
Vojkan Jakšic

Book chapters:
  • Jakšić, V., Poulin, P., « Scattering from sparse potentials: a deterministic approach », in Analysis and Mathematical Physics, B. Gustafsson, A. Vasil′ev, ed., Trends in Mathematics, Basel, Birkhäuser, 2009.
  • Jakšić, V., Ogata, Y., Pautrat, Y., Pillet, C.-A., « Entropic fluctuations in quantum statistical mechanics — An introduction », in Quantum Theory from Small to Large Scales, J. Frohlich, M. Salmhofer, V. Mastropietro, W. De Roeck, L. F. Cugliandolo, eds., Lecture Notes of the Les Houches Summer School, Oxford, Oxford Univ. Press, 2012.
Peer-reviewed journal articles:
  • Aschbacher, W. H., Jaksic, V., Pautrat, Y., Pillet, C.-A., « Transport properties of quasi-free fermions », Journal of Mathematical Physics, 48:3 (March 2007), 032101, 28 pages.
  • Jaksic, V., Ogata, Y., Pillet, C.-A., « The Green–Kubo formula for locally interacting open fermionic systems », Annales Henri Poincaré, 8:6 (September 2007), 1013–1036.
  • Jaksic, V., Pautrat, Y., Pillet, C.-A., « Central limit theorem for locally interacting Fermi gas », Communications in Mathematical Physics, 285:1 (January 2009), 175–217.
  • Jakšić, V., Pautrat, Y., Pillet, C.-A., « A non-commutative Lévy–Cramér continuity theorem », Markov Processes and Related Fields, 16:1 (2010), 59–78.
  • Jakšić, V., Pautrat, Y., Pillet, C.-A., « A quantum central limit theorem for sums of independent identically distributed random variables », Journal of Mathematical Physics, 51:1 (January 2010), 015208, 8 pages.
  • Jakšić, V., Pillet, C.-A., Rey-Bellet, L., « Entropic fluctuations in statistical mechanics. I: Classical dynamical systems », Nonlinearity, 24:3 (March 2011), 699–763.
Peer-reviewed conference proceedings:
  • Jaksic, V., Pillet, C.-A., « On the strict positivity of entropy production », in Adventures in Mathematical Physics, F. Germinet, P. D. Hislop, ed., Contemporary Mathematics, Providence, RI, Amer. Math. Soc., 2007, 153–163.
Niky Kamran

Book chapters:
  • Kamran, N., « Exterior differential systems », in Handbook of Global Analysis, D. Krupka, D. Saunders, ed., Amsterdam, Elsevier, 2008.
Peer-reviewed journal articles:
  • Gómez-Ullate, D., Kamran, N., Milson, R., « Quasi-exact solvability beyond the $\operatorname{sl}(2) algebraization », Physics of Atomic Nuclei, 70:3 (March 2007), 520–528.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces », Discrete and Continuous Dynamical Systems. Series A, 18:1 (May 2007), 85–106.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « Quasi-exact solvability in a general polynomial setting », Inverse Problems, 23:5 (October 2007), 1915–1942.
  • Barnaby, N., Kamran, N., « Dynamics with infinitely many derivatives: the initial value problem », Journal of High Energy Physics, 2008:2 (February 2008), 008, 39 pages.
  • Finster, F., Kamran, N., Smoller, J., Yau, S.-T., « Decay of scalar waves in Kerr geometry. Erratum », Communications in Mathematical Physics, 280:2 (June 2008), 563–573.
  • Finster, F., Kamran, N., Smoller, J., Yau, S.-T., « Decay of solutions of the wave equation in the Kerr geometry — Erratum », Communications in Mathematical Physics, 280:2 (June 2008), 563–573.
  • Barnaby, N., Kamran, N., « Dynamics with infinitely many derivatives: variable coefficient equations », Journal of High Energy Physics, 2008:12 (December 2008), 022, 27 pages.
  • Finster, F., Kamran, N., Smoller, J., Yau, S.-T., « Linear waves in Kerr geometry: a mathematical voyage to black hole physics », Bulletin of the American Mathematical Society. New Series, 46:4 (2009), 635–659.
  • Kamran, N., Olver, P. J., Tenenblat, K., « Local symplectic invariants for curves », Communications in Contemporary Mathematics, 11:2 (April 2009), 165–183.
  • Finster, F., Kamran, N., Smoller, J., Yau, S.-T., « A rigorous treatment of energy extraction from a rotating black hole », Communications in Mathematical Physics, 287:3 (May 2009), 829–847.
  • Enciso, A., Kamran, N., « Green's functions for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces », Communications in Mathematical Physics, 290:1 (August 2009), 105–127.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « An extended class of orthogonal polynomials defined by a Sturm–Liouville problem », Journal of Mathematical Analysis and Applications, 359:1 (November 2009), 352–367.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « An extension of Bochner's problem: exceptional invariant subspaces », Journal of Approximation Theory, 162:5 (May 2010), 987–1006.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « An extension of Bochner's problem: exceptional invariant subspaces », Journal of Approximation Theory, 162:5 (May 2010), 987–1006.
  • Enciso, A., Kamran, N., « Global causal propagator for the Klein–Gordon equation on a class of supersymmetric AdS backgrounds », Advances in Theoretical and Mathematical Physics, 14:4 (August 2010), 1183–1208.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « Exceptional orthogonal polynomials and the Darboux transformation », Journal of Physics A. Mathematical and Theoretical, 43:43 (October 2010), 434016, 16 pages.
  • Enciso, A., Kamran, N., « Spinor Green’s functions via spherical means on products of space forms », Journal of Geometry and Physics, 61:1 (January 2011), 180–190.
  • Gómez-Ullate, D., Kamran, N., Milson, R., « Two-step Darboux transformations and exceptional Laguerre polynomials », Journal of Mathematical Analysis and Applications, 387:1 (March 2012), 410–418.
Peer-reviewed conference proceedings:
  • Kamran, N., « Focal system for Pfaffian systems with characteristics », in Differential Equations: Geometry, Symmetries and Integrability, The Abel Symposium 2008 (Tromsø, 2008), B. Kruglikov, V. Lychagin, E. Straume, eds., Abel Symposia, Berlin, Springer, 2009, 173–185.
Research reports:
  • Daude, T., Kamran, N., « Local energy decay of massive Dirac fields in the 5D Myers–Perry metric », arXiv:1202.1630, February 2012.
Dmitry Korotkin

Peer-reviewed journal articles:
  • Kokotov, A., Korotkin, D., « A new hierarchy of integrable systems associated to Hurwitz spaces », Philosophical Transactions of the Royal Society. Series A. Mathematical, Physical and Engineering Sciences, 366:1867 (March 2008), 1055–1088.
  • Korotkin, D., Samtleben, H., « Generalization of Okamoto's equation to arbitrary $2\times2$ Schlesinger system », Advances in Mathematical Physics, 2009 (2009), 461860, 14 pages.
  • Klein, C., Kokotov, A., Korotkin, D., « Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces », Mathematische Zeitschrift, 261:1 (January 2009), 73–108.
  • Kokotov, A., Korotkin, D., « Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray–Singer formula », Journal of Differential Geometry, 82:1 (May 2009), 35–100.
  • Kokotov, A., Korotkin, D., Zograf, P., « Isomonodromic tau function on the space of admissible covers », Advances in Mathematics, 227:1 (May 2011), 586–600.
  • Korotkin, D., Zograf, P., « Tau function and moduli of differentials », Mathematical Research Letters, 18:3 (May 2011), 447–458.
  • Korotkin, D., Shramchenko, V., « Riemann–Hilbert problems for Hurwitz Frobenius manifolds », Letters in Mathematical Physics, 96:1-3 (June 2011), 109–121.
  • Korotkin, D., Shramchenko, V., « Riemann–Hilbert problems for Hurwitz Frobenius manifolds: regular singularities », Journal für die Reine und Angewandte Mathematik, 661 (December 2011), 125–187.
  • Korotkin, D., Shramchenko, V., « On higher genus Weierstrass sigma-function », Physica D. Nonlinear Phenomena (XXXX), accepted.
François Lalonde

Monographs and books:
  • Abreu, M., Lalonde, F., Polterovich, L. (EDT), New Perspectives and Challenges in Symplectic Field Theory, CRM Proceedings & Lecture Notes, volume 49, Providence, RI, Amer. Math. Soc., 2009.
Peer-reviewed journal articles:
  • Anjos, S., Lalonde, F., « The topology of the space of symplectic balls in $S^2 \times S^2$ », Comptes rendus. Mathématique, 345:11 (December 2007), 639–642.
  • Anjos, S., Lalonde, F., Pinsonnault, M., « The homotopy type of the space of symplectic balls in rational 4-manifolds », Geometry & Topology, 13:2 (February 2009), 1177–1227.
  • Hu, S., Lalonde, F., « A relative Seidel morphism and the Albers map », Transactions of the American Mathematical Society, 362 (2010), 1135–1168.
  • Hu, S., Lalonde, F., Leclercq, R., « Homological Lagrangian monodromy », Geometry & Topology, 15:3 (September 2011), 1617–1650.
Decio Levi

Peer-reviewed journal articles:
  • Dattoli, G., Levi, D., Winternitz, P., « Heisenberg algebra, umbral calculus and orthogonal polynomials », Journal of Mathematical Physics, 49:5 (May 2008), 053509, 19 pages.
  • Levi, D., Winternitz, P., Yamilov, R., « Lie point symmetries of differential-difference equations », Journal of Physics A. Mathematical and Theoretical, 43:29 (July 2010), 292002, 14 pages.
Research reports:
  • Levi, D., Tempesta, P., « Multiple-scale analysis of dynamical systems on the lattice », Centre de recherches mathématiques, CRM-3300, May 2010.
Pierre Mathieu

Peer-reviewed journal articles:
  • Mathieu, P., Ridout, D., « The extended algebra of the $\operatorname{SU}(2)$ Wess–Zumino–Witten models », Nuclear Physics B, 765:3 (March 2007), 201–239.
  • Desrosiers, P., Lapointe, L., Mathieu, P., « Orthogonality of Jack polynomials in superspace », Advances in Mathematics, 212:1 (June 2007), 361–388.
  • Mathieu, P., Ridout, D., « The extended algebra of the minimal models », Nuclear Physics B, 776:3 (August 2007), 365–404.
  • Jacob, P., Mathieu, P., « Paths for $\mathcal{Z}_k$ parafermionic models », Letters in Mathematical Physics, 81:3 (September 2007), 211–226.
  • Jacob, P., Mathieu, P., « New path description for the $\mathcal{M}(k+1,2k+3)$ models and the dual $\mathcal{Z}_k$ graded parafermions », Journal of Statistical Mechanics. Theory and Experiment, 2007:11 (November 2007), P11005, 43 pages.
  • Mathieu, P., Ridout, D., « From percolation to logarithmic conformal field theory », Physics Letters B 657:1-3 (November 2007), 120–129.
  • Fortin, J.-F., Mathieu, P., Warnaar, S. O., « Characters of graded parafermionic conformal field theory », Advances in Theoretical and Mathematical Physics, 11:6 (December 2007), 945–989.
  • Jacob, P., Mathieu, P., « A nonlocal operator basis from the path representation of the $\mathcal{M}(k+1,k+2)$ and the $\mathcal{M}(k+1,2k+3)$ minimal models », Journal of Physics A. Mathematical and Theoretical, 41:38 (September 2008), 385201, 20 pages.
  • Mathieu, P., Ridout, D., « Logarithmic $M(2,p)$ minimal models, their logarithmic couplings, and duality », Nuclear Physics B, 801:3 (October 2008), 268–295.
  • Jacob, P., Mathieu, P., « Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models », Nuclear Physics B, 805:3 (December 2008), 517–544.
  • Mathieu, P., « Quasi-particles in conformal field theory », Canadian Journal of Physics / Revue canadienne de physique, 87:3, Theory CANADA 4 Conference 4–7 June/Juin, 2008 (2009), 205–211.
  • Jacob, P., Mathieu, P., « Multiple partitions, lattice paths and a Bruge–Bressoud- type correspondence », Discrete Mathematics, 309:4 (March 2009), 878–886.
  • Jacob, P., Mathieu, P., « Particles in RSOS paths », Journal of Physics A. Mathematical and Theoretical, 42:12 (March 2009), 122001, 14 pages.
  • Jacob, P., Mathieu, P., « Jagged partitions and lattices paths », Annals of Combinatorics, 13:1 (July 2009), 87–102.
  • Mathieu, P., « The $\mathcal{W}_k$ structure of the $\mathcal{Z}_k^{(3/2)}$ models », Journal of Physics A. Mathematical and Theoretical, 42:37 (September 2009), 375212, 10 pages.
  • Mathieu, P., « Paths and partitions: combinatorial descriptions of the parafermionic states », Journal of Mathematical Physics, 50:9 (September 2009), 095210, 43 pagres.
  • Blondeau-Fournier, O., Mathieu, P., Welsh, T., « A bijection between paths for the $\mathcal{M}(p,2p+1)$ minimal model Virasoro characters », Annales Henri Poincaré, 11:1-2 (June 2010), 101–125.
  • Lamy-Poirier, J., Mathieu, P., « Path representation of $\operatorname{su}(2)_k$ states. I: Operators and particles for $k=1,2$ », Nuclear Physics B, 845:2 (April 2011), 257–296.
  • Lamy-Poirier, J., Mathieu, P., « Path representation of $\operatorname{su}(2)_k$ source states. II: Operator construction of the fermionic character and spin-$\frac{1}{2}$–RSOS factorization », Nuclear Physics B, 847:1 (June 2011), 247–273.
Research reports:
  • Blondeau-Fournier, O., Mathieu, P., Welsh, T., « Half-lattice paths and Virasoro characters », arXiv:1109.0578, September 2011.
Manu B. Paranjape

Peer-reviewed journal articles:
  • Lambert, J., Paranjape, M. B., « Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory », Journal of High Energy Physics, 2007:5 (May 2007), 007, 20 pages.
  • Alexanian, G., MacKenzie, R., Paranjape, M. B., Ruel, J., « Problems with complex actions », Canadian Journal of Physics / Revue canadienne de physique, 85:6 (June 2007), 699–705.
  • Esposito, P., Wijewardhana, L. C. R., Guay, L.-P., Paranjape, M. B., MacKenzie, R., « Field theoretic description of the abelian and non-abelian Josephson effect », Physical Review Letters, 98:24 (June 2007), 241602, 4 pages.
  • Garnik, A., MacKenzie, R., Paranjape, M. B., Ruel, J., « Path integration and perturbation theory with complex Euclidean actions », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 77:10 (May 2008), 105014.
  • Bouchami, J., Paranjape, M. B., « Spontaneous breaking of conformal invariance, solitons and gravitational waves in theories of conformally invariant gravitation », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 78:4 (August 2008), 044022, 11 pages.
  • Edery, A., Fabbri, L., Paranjape, M. B., « Gravitationally coupled magnetic monopole and conformal symmetry breaking », Canadian Journal of Physics / Revue canadienne de physique, 87:3 (2009), 251–254.
  • MacKenzie, R., Nebia-Rahal, F., Paranjape, M. B., « Phase transitions in a 3 dimensional lattice loop gas », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 81:11 (June 2010), 114505, 10 pages.
  • Kumar, B., Paranjape, M. B., Yajnik, U. A., « Fate of the false monopoles: Induced vacuum decay », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 82:2 (July 2010), 025022, 10 pages.
  • MacKenzie, R., Nebia-Rahal, F., Paranjape, M. B., Richer, J., « Phase transitions in a gas of anyons », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 82:7 (October 2010), 074506, 6 pages.
  • Fabbri, L., Paranjape, M. B., « Monochromatic plane-fronted waves in conformal gravity are pure gauge », Physical Review D. Particles, Fields, Gravitation, and Cosmology, 83:10 (May 2011), 104046, 5 pages.
  • Khare, A., Paranjape, M. B., « Suppression of quantum tunneling for all spins for easy-axis systems », Physical Review B. Condensed Matter and Material Physics, 83:17 (May 2011), 172401, 4 pages.
Jirí Patera

Peer-reviewed journal articles:
  • Klimyk, A., Patera, J., « Antisymmetric orbit functions », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 3 (2007), 023, 83 pages.
  • Boyko, V., Patera, J., Popovych, R., « Invariants of Lie algebras with fixed structure of nilradicals », Journal of Physics A. Mathematical and Theoretical, 40:1 (January 2007), 113–130.
  • Atoyan, A. M., Patera, J., « The discrete SU(3) transform and its continuous extension for triangular lattices », Journal of Geometry and Physics, 57:3 (February 2007), 745–764.
  • Kashuba, I., Patera, J., « Discrete and continuous exponential transforms of simple Lie groups of rank 2 », Journal of Physics A. Mathematical and Theoretical, 40:18 (May 2007), 4751–4774.
  • Boyko, V., Patera, J., Popovych, R., « Invariants of triangular Lie algebras », Journal of Physics A. Mathematical and Theoretical, 40:27 (July 2007), 7557–7572.
  • Klimyk, A., Patera, J., « (Anti)symmetric multivariate exponential functions and corresponding Fourier transforms », Journal of Physics A. Mathematical and Theoretical, 40:34 (August 2007), 10473–10489.
  • Boyko, V., Patera, J., Popovych, R., « Invariants of triangular Lie algebras with one nil-independent diagonal element », Journal of Physics A. Mathematical and Theoretical, 40:32 (August 2007), 9783–9792.
  • Patera, J., Pelantová, E., Svobodová, M., « Fine gradings of the real forms of $\operatorname{sl}(4,\mathbb{C})$, $\operatorname{sp}(4,\mathbb{C})$, and ${\operatorname{o}(4,\mathbb{C})$ », Journal of Mathematical Physics, 48:9 (September 2007), 093503, 25 pages.
  • Klimyk, A., Patera, J., « (Anti)symmetric multivariate trigonometricl functions and corresponding Fourier transforms », Journal of Mathematical Physics, 48:9 (September 2007), 093504, 24 pages.
  • Klimyk, A., Patera, J., « $E$-orbit functions », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 4 (2008), 002, 57 pages.
  • Boyko, V., Patera, J., Popovych, R., « Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements », Linear Algebra and its Applications, 428:4 (February 2008), 834–854.
  • Klimyk, A., Patera, J., « Alternating multivariate trigonometric functions and corresponding Fourier transforms », Journal of Physics A. Mathematical and Theoretical, 41:14 (April 2008), 135205, 16 pages.
  • Asatryan, D., Patera, J., « Edge-detection algorithm based on DCT continuous extension technique », Physics of Atomic Nuclei, 71:5 (May 2008), 795–799.
  • Nesterenko, M., Patera, J., « Three-dimensional $C$-, $S$- and $E$-transforms », Journal of Physics A. Mathematical and Theoretical, 41:47 (November 2008), 475205, 31 pages.
  • Moody, R. V., Nesterenko, M., Patera, J., « Computing with almost periodic functions », Acta Crystallographica Section A. Foundations of Crystallography, 64:6 (November 2008), 654–669.
  • Háková, L., Larouche, M., Patera, J., « The rings of $n$-dimensional polytopes », Journal of Physics A. Mathematical and Theoretical, 41:49 (December 2008), 495202, 21 pages.
  • Grundland, M., Patera, J., Masáková, Z., Dodgson, N. A., « Image sampling with quasicrystals », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 5 (2009), 075, 23 pages.
  • Hrivnák, J., Patera, J., « On discretization of tori of compact simple Lie groups
     », Journal of Physics A. Mathematical and Theoretical, 42:38 (September 2009), 385208, 26 pages.
  • Larouche, M., Nesterenko, M., Patera, J., « Branching rules for the Weyl group orbits of the Lie algebra $A_n$ », Journal of Physics A. Mathematical and Theoretical, 42:48 (December 2009), 485203, 15 pages.
  • Hrivnák, J., Patera, J., « Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions », Journal of Mathematical Physics, 51:2 (February 2010), 023515, 24 pages.
  • Hrivnák, J., Patera, J., « On $E$-discretization of tori of compact simple Lie groups », Journal of Physics A. Mathematical and Theoretical, 43:16 (April 2010), 165206, 13 pages.
  • Hrivnák, J., Motlochová, L., Patera, J., « Two-dimensional symmetric and antisymmetric generalizations of sine functions », Journal of Mathematical Physics, 51:7 (July 2010), 073509, 13 pages.
  • Nesterenko, M., Patera, J., Szajewska, M., Tereszkiewicz, A., « Orthogonal polynomials of compact simple Lie groups: branching rules for polynomials », Journal of Physics A. Mathematical and Theoretical, 43:49 (December 2010), 495207, 27 pages.
  • Larouche, M., Patera, J., « Branching rules for Weyl group orbits of simple Lie algebras $B_n$, $C_n$ and $D_n$ », Journal of Physics A. Mathematical and Theoretical, 44:11 (March 2011), 115203, 37 pages.
  • Hrivnák, J., Kashuba, I., Patera, J., « On $E$-functions of semisimple Lie groups », Journal of Physics A. Mathematical and Theoretical, 44:32 (August 2011), 325205 20 pages.
  • Moody, R. V., Patera, J., « Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups », Advances in Applied Mathematics, 47:3 (September 2011), 509–535.
  • Bodner, M., Patera, J., Peterson, M., « Affine reflection groups for tiling applications: Knot theory and DNA », Journal of Mathematical Physics, 53:1 (January 2012), 013516, 21 pages.
Peer-reviewed conference proceedings:
  • Nesterenko, M., Patera, J., « Quasicrystals in cryptography », in Aspects of Network and Information Security, NATO Advanced Studies Institute on Network Security and Intrusion Detection (Yerevan, 2006), E. Kranakis, E. Haroutunian, E. Shahbazian, eds., NATO Security through Science Series - D: Information and Communication Security, Amsterdam, IOS Press, 2008, 274–282.
  • Klimyk, A., Patera, J., « Alternating group and multivariate exponential functions », in Groups and Symmetries, Groups and symmetries: From the Neolithic Scots to John McKay (Montréal, QC, 2007), J. Harnad, P. Winternitz, ed., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2009, 233–246.
  • Hrivnak, J., Patera, J., « Discretization of compact semisimple Lie groups », in XXVII Workshop on Geometric Methods in Physics, XXVII Workshop on Geometric Methods in Physics (Bialowieza, 2008), P. Kielanowski, A. Odzijewicz, M. Schlichenmaier, T. Voronov, eds., AIP Conference Proceedings, Melvile, NY, Amer. Inst. Phys., 2009, 196–202.
  • Nesterenko, M., Patera, J., « Quasicrystal models in cryptography », in XXVIII Workshop on Geometrical Methods in Physics, XXVIII Workshop on Geometric Methods in Physics (Bialystok, 2009), P. Kielanowski,, S. T. Ali, A. Odzijewicz, M. Schlichenmaier, T. Voronov, eds., AIP Conference Proceedings, Melvile, NY, Amer. Inst. Phys., 2009, 148–159.
  • Hrivnák, J., Patera, J., « Discretization of tori of exceptional compact simple Lie groups », in XXVIII Workshop on Geometrical Methods in Physics, XXVIII Workshop on Geometrical Methods in Physics (Bialystok, 2009), P. Kielanowski, S. T. Ali, A. Odzijewicz, T. Voronov, M. Schlichenmaier, eds., AIP Conference Proceedings, Melvile, NY, Amer. Inst. Phys., 2009, 110–115.
  • Boyko, V., Patera, J., Popovych, R., « Invariants of Lie algebras via moving frames », in Group Analysis of Differential Equations and Integrable Systems, 4th International Workshop in Group Analysis of Differential Equations and Integrable Systems (Protaras, 2008), N. Ivanova, C. Sophocleous, R. Popovych, P. Damianou, A, Nikitin, eds., 2009, 36–44.
  • Nesterenko, M., Patera, J., « On orbit functions, their properties and applications », in Group Analysis of Differential Equations and Integrable Systems, 4th International Workshop in Group Analysis of Differential Equations and Integrable Systems (Protaras, 2008), N. Ivanova, C. Sophocleous, R. Popovych, P. Damianou, A. Nikitin, eds., 2009, 155–163.
Yvan Saint-Aubin

Monographs and books:
  • Rousseau, C., Saint-Aubin, Y., Mathématiques et Technologie, Springer Undergraduate Texts in Mathematics and Technology, New York, Springer, 2008.
  • Rousseau, C., Saint-Aubin, Y., Mathematics and Technology, Springer Undergraduate Texts in Mathematics and Technology, New York, Springer, 2008.
Peer-reviewed journal articles:
  • Saint-Aubin, Y., Pearce, P. A., Rasmussen, J., « Geometric exponents, SLE and logarithmic minimal models », Journal of Statistical Mechanics. Theory and Experiment, 2009:2 (2009), P02028, 38 pages.
  • Chassé, D., Saint-Aubin, Y., « On the spectrum of an $n! \times n!$ matrix originating from statistical mechanics », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 52:1 (March 2009), 9–17.
  • Arguin, L.-P., Saint-Aubin, Y., « Restricted partition functions of the two-dimensional Ising model on a half-infinite cylinder », Journal of Mathematical Physics, 50:9 (April 2009), 095203.
  • Morin-Duchesne, A., Saint-Aubin, Y., « Critical exponents for the homology of Fortuin–Kasteleyn clusters on a torus », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 80:02 (August 2009), 021130, 13 pages.
  • Morin-Duchesne, A., Saint-Aubin, Y., « The Jordan structure of two-dimensional loop models », Journal of Statistical Mechanics. Theory and Experiment, 2011:4 (April 2011), P04007.
  • Saint-Aubin, Y., Arguin, L.-P., Aurag, H., « Behavior of the two-dimensional Ising model at the boundary of a half-infinite cylinder », Canadian Journal of Physics / Revue canadienne de physique, 89:9 (September 2011), 921–936.
Other journal articles:
  • Rousseau, C., Saint-Aubin, Y., « Les miroirs ardents », Accromath, 2:1 (2007), 2–5.
  • Saint-Aubin, Y., « Les exposés de Wendelin Werner dans le cadre de la Chaire Aisenstadt », Bulletin du CRM, 14 no 2 (automne 2008).
  • Saint-Aubin, Y., « Pavages hyperboliques », Accromath, 5:1 (2010), 4–10.
  • Novikov, D., Rousseau, C., Saint-Aubin, Y., « Les sphères de Dandelin », Accromath, 6:2 (2011), 2–7.
Robert Seiringer

Monographs and books:
  • Lieb, E. H., Seiringer, R., The Stability of Matter in Quantum Mechanics, Cambridge, Cambridge Univ. Press, 2010.
Book chapters:
  • Frank, R. L., Seiringer, R., « Sharp fractional Hardy inequalities in half-spaces », in Around the Research of Vladimir Maz'ya. I, A. Laptev, eds., International Mathematical Series (New York), New York, Springer, 2010.
Peer-reviewed journal articles:
  • Seiringer, R., « On the failure of subadditivity of the Wigner-Yanase entropy », Letters in Mathematical Physics, 80:3 (May 2007), 285–288.
  • Lieb, E. H., Seiringer, R., Yngvason, J., « Bose–Einstein condensation and spontaneous symmetry breaking », Reports on Mathematical Physics, 59:3, Proceedings of the 21st Max Born Symposium (June 2007), 389–399.
  • Frank, R. L., Lieb, E. H., Seiringer, R., « Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value », Communications in Mathematical Physics, 275:2 (July 2007), 479–489.
  • Frank, R. L., Lieb, E. H., Seiringer, R., Siedentop, H., « Müller's exchange-correlation energy in density-matrix-functional theory », Physical Review A. Atomic, Molecular, and Optical Physics, 76:5 (November 2007), 052517, 16 pages.
  • Frank, R. L., Lieb, E. H., Seiringer, R., « Number of bound states of Schrödinger operators with matrix-valued potentials », Letters in Mathematical Physics, 82:2-3, Modern Topics in Mathematical Physics in honor of Jean-Claude Cortet (December 2007), 107–116.
  • Frank, R. L., Hainzl, C., Naboko, S., Seiringer, R., « The critical temperature for the BCS equation at weak coupling  », Journal of Geometric Analysis, 17:4 (December 2007), 559–567.
  • Seiringer, R., « Free energy of a dilute Bose gas: lower bound », Communications in Mathematical Physics, 279:3 (May 2008), 595–636.
  • Hainzl, C., Seiringer, R., « Critical temperature and energy gap for the BCS equation », Physical Review B. Condensec Matter and Material Physics, 77:18 (May 2008), 184517, 10 pages.
  • Seiringer, R., Yin, J., « Ground state energy of the low density Hubbard model  », Journal of Statistical Physics, 131:6 (June 2008), 1139–1154.
  • Hainzl, C., Seiringer, R., « The BCS critical temperature for potentials with negative scattering length », Letters in Mathematical Physics, 84:2-3 (June 2008), 99–107.
  • Hainzl, C., Hamza, E., Seiringer, R., Solovej, J. P., « The BCS functional for general pair interactions », Communications in Mathematical Physics, 281:2 (July 2008), 349–367.
  • Frank, R. L., Lieb, E. H., Seiringer, R., « Hardy–Lieb–Thirring inequalities for fractional Schrödinger operators », Journal of the American Mathematical Society, 21:4 (October 2008), 925–950.
  • Hainzl, C., Lewin, M., Seiringer, R., « A nonlinear model for relativistic electrons at positive temperature », Reviews in Mathematical Physics, 20:10 (November 2008), 1283–1307.
  • Seiringer, R., Yin, J., « The Lieb-Liniger model as a limit of dilute bosons in three dimensions  », Communications in Mathematical Physics, 284:2 (December 2008), 459–479.
  • Frank, R. L., Seiringer, R., « Non-linear ground state representations and sharp Hardy inequalities  », Journal of Functional Analysis, 255:12 (December 2008), 3407–3430.
  • Giuliani, A., Seiringer, R., « The ground state energy of the weakly Iiteracting Bose gas at high density  », Journal of Statistical Physics, 135:5-6 (June 2009), 915–934.
  • Lieb, E. H., Seiringer, R., Yngvason, J., « Yrast line of a rapidly rotating Bose gas: Gross–Pitaevskii regime », Physical Review A. Atomic, Molecular, and Optical Physics, 79:6 (June 2009), 063626, 8 pages.
  • Predd, J., Seiringer, R., Lieb, E. H., Osherson, D., Poor, V., Kulkarni, S., « Probabilistic coherence and proper scoring rules », IEEE Transactions on Information Theory, 55:10 (October 2009), 4789–4792.
  • Seiringer, R., Ueltschi, D., « Rigorous upper bound on the critical temperature of dilute Bose gases », Physical Review B. Condensed Matter and Material Physics, 80:14 (October 2009), 014502, 9 pages.
  • Lewin, M., Seiringer, R., « Strongly correlated phases in rapidly rotating Bose gases », Journal of Statistical Physics, 137:5-6 (December 2009), 1040–1063.
  • Hainzl, C., Seiringer, R., « Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy », Mathematische Nachrichten, 283:3 (March 2010), 489–499.
  • Frank, R. L., Lieb, E. H., Seiringer, R., Thomas, L. E., « Bipolaron and $N$-polaron binding energies », Physical Review Letters, 104:21 (May 2010), 210402, 4 pages.
  • Seiringer, R., « The excitation spectrum for weakly interacting bosons », Communications in Mathematical Physics, 306:2 (2011), 565–578.
  • Frank, R. L., Lewin, M., Lieb, E. H., Seiringer, R., « Energy cost to make a hole in the Fermi sea », Physical Review Letters, 106:15 (April 2011), 150402, 4 pages.
  • Frank, R. L., Lieb, E. H., Seiringer, R., Thomas, L. E., « Stability and absence of binding for multi-polaron systems », Publications Mathématiques. Institut de Hautes Études Scientifiques, 113:1 (June 2011), 39–67.
Peer-reviewed conference proceedings:
  • Seiringer, R., « Vortices and spontaneous symmetry breaking in rotating Bose gases », in Mathematical Results in Quantum Mechanics, 10th Quantum Mathematics International Conference — Qmath10 (Moieciu, 2007), I. Beltita, G. Nenciu, R. Purice, eds., Singapour, World Sci. Publ., 2008, 241–254.
  • Hainzl, C., Seiringer, R., « Spectral properties of the BCS gap equation of superfluidity », in Mathematical Results in Quantum Mechanics, 10th Quantum Mathematics International Conference — Qmath10 (Moieciu, 2007), I. Beltita, G. Nenciu, R. Purice,, eds., Singapour, World Sci. Publ., 2008, 117–136.
  • Hainzl, C., Seiringer, R., « A linear criterion for solutions of non-linear equations, with application to the BCS gap equation », in Spectral and Scattering Theory for Quantum Magnetic Systems, Spectral and Scattering Theory for Quantum Magnetic Systems (Marseille, 2008), P. Briet, F. Germinet, G. Raikov, eds., Contemporary Mathematics, Providence, RI, Amer. Math. Soc., 2009, 101–104.
  • Seiringer, R., « Inequalities for Schrödinger operators and applications to the stability of matter problem », in Entropy and the Quantum, Arizona School of Analysis with Applications (Tucson, AZ, 2009), R. Sims, D. Ueltschi, ed., Contemporary Mathematics, Providence, RI, Amer. Math. Soc., 2010, 53–72.
  • Frank, R. L., Laptev, A., Seiringer, R., « A sharp bound on eigenvalues of Schrödinger operators on the half-line with complex-valued potentials », in Spectral Theory and Analysis, Operator Theory, Analysis and Mathematical Physics – OTAMP2008 (Bedlewo, 2008), J. Janas, P. Kurasov, A. Laptev, S. Naboko, G. Stolz, eds., Operator Theory. Advances and Applications, Basel, Birkäuser, 2011, 39–44.
Alexander Shnirelman

Peer-reviewed journal articles:
  • Morgulis, A., Shnirelman, A., Yudovich, V., « Loss of smoothness and inherent instability of 2D inviscid fluid flows », Communications in Partial Differential Equations, 33:6 (2008), 943–968.
Vasilisa Shramchenko

Peer-reviewed journal articles:
  • Shramchenko, V., « Riemann–Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity », Duke Mathematical Journal, 144:1 (July 2008), 1–52.
  • Korotkin, D., Shramchenko, V., « Riemann–Hilbert problems for Hurwitz Frobenius manifolds », Letters in Mathematical Physics, 96:1-3 (June 2011), 109–121.
  • Korotkin, D., Shramchenko, V., « Riemann–Hilbert problems for Hurwitz Frobenius manifolds: regular singularities », Journal für die Reine und Angewandte Mathematik, 661 (December 2011), 125–187.
  • Frauendiener, J., Klein, C., Shramchenko, V., « Efficient computation of the branching structure of an algebraic curve », Computational Methods and Function Theory, 11:2 (December 2011), 527–546.
  • Assem, I., Schiffler, R., Shramchenko, V., « Cluster automorphisms », Proceedings of the London Mathematical Society. Third Series (XXXX), accepted.
  • Korotkin, D., Shramchenko, V., « On higher genus Weierstrass sigma-function », Physica D. Nonlinear Phenomena (XXXX), accepted.
John A. Toth

Peer-reviewed journal articles:
  • Jakobson, D., Polterovich, I., Toth, J. A., « A lower bound for the remainder in Weyl’s law on negatively curved surfaces », International Mathematics Research Notices, 2007 (2007), rnm142, 38 pages.
  • Toth, J. A., Wigman, I., « Counting open nodal lines of random waves on planar domains », International Mathematics Research Notices, 2009:18 (2009), 3337–3365.
  • Toth, J. A., Zelditch, S., « Counting nodal lines which touch the boundary of an analytic domain », Journal of Differential Geometry, 81:3 (March 2009), 649–686.
  • Toth, J. A., « $L^2$-restriction bounds for eigenfunctions along curves in the quantum completely integrable case », Communications in Mathematical Physics, 288:1 (May 2009), 379–401.
  • Sogge, C., Toth, J. A., Zelditch, S., « About the blowup of quasimodes on Riemannian manifolds  », Journal of Geometric Analysis, 21:1 (January 2011), 150–173.
Carolyne M. Van Vliet

Monographs and books:
  • Van Vliet, C. M., Equilibrium and Non-Equilibrium Statistical Mechanics, Singapore, World Sci. Publ., 2008.
Luc Vinet

Peer-reviewed journal articles:
  • Vinet, L., Zhedanov, A., « Elliptic biorthogonal polynomials connected with Hermite's continued fraction », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 3, Vadim Kuznetsov Memorial Issue (2007), 003, 18 pages.
  • Ujino, H., Vinet, L., Yajima, T., Yoshida, H., « Additional Constants of Motion for a Discretization of the Calogero–Moser Model », Journal of the Physical Society of Japan, 77 (2008), 074001, 3 pages.
  • Vinet, L., Zhedanov, A., « Quasi-linear algebras and integrability (the Heisenberg picture) », SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 4 (2008), 015, 22 pages.
  • Vinet, L., Zhedanov, A., « Automorphisms of the Heisenberg–Weyl algebra and $d$-orthogonal polynomials », Journal of Mathematical Physics, 50:3 (March 2009), 033511, 19 pages.
  • Vinet, L., Zhedanov, A., « The Poncelet problem and the discrete-time pendulum », Journal of Physics A. Mathematical and Theoretical, 42:17 (April 2009), 175206, 18 pages.
  • Vinet, L., Zhedanov, A., « Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials », Journal of Physics A. Mathematical and Theoretical, 42:45 (November 2009), 454024, 16 pages.
  • Vinet, L., Zhedanov, A., « $d$-orthogonal Charlier polynomials and the Weyl algebra », Journal of Physics. Conference Series, 284, 28th International Colloquium on Group-Theoretical Methods in Physics (Newcastle upon Tyne, 2010) (2011), 012060, 7 pages.
  • Vinet, L., Zhedanov, A., « A ‘missing’ family of classical orthogonal polynomials », Journal of Physics A. Mathematical and Theoretical, 44:8 (February 2011), 085201, 16 pages.
Research reports:
  • Vinet, L., Zhedanov, A., « Representations of the Schrödinger groups and matrix orthogonal polynomials », Centre de recherches mathématiques, CRM-3306, October 2010.
  • Vinet, L., Zhedanov, A., « A limit $q \to -1$ for big $q$-Jacobi polynomials », Centre de recherches mathématiques, CRM-3307, October 2010.
  • Vinet, L., Zhedanov, A., « A Bochner theorem for first-order Dunkl-type operators », Centre de recherches mathématiques, CRM-3308, October 2010.
Johannes Walcher

Peer-reviewed journal articles:
  • Krefl, D., Walcher, J., « Extended holomorphic anomaly in gauge theory », Letters in Mathematical Physics, 95:1 (2011), 67–88.
Pavel Winternitz

Monographs and books:
  • Harnad, J., Winternitz, P. (EDT), Groups and Symmetries: From Neolithic Scots to John McKay 47, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2009.
Peer-reviewed journal articles:
  • Marquette, I., Winternitz, P., « Polynomial Poisson algebra for classical superintegrable systems with a third-order integral of motion », Journal of Mathematical Physics, 48:1 (January 2007), 012902, 16 pages.
  • Charest, F., Hudon, C., Winternitz, P., « Quasiseparation of variables in the Schrödinger equation with a magnetic field », Journal of Mathematical Physics, 48:1 (January 2007), 012105, 16 pages.
  • Smirnov, R., Winternitz, P., « A class of superintegrable systems of Calogero type. Erratum », Journal of Mathematical Physics, 48:7 (July 2007), 079902, 1 page.
  • Marquette, I., Winternitz, P., « Erratum: Polynomial Poisson algebras for classical superintegrable systems with a third order integral of motion [ J. Math. Phys. 48, 012902 (2007) ] », Journal of Mathematical Physics, 49:1 (January 2008), 019901, 1 pages.
  • Dattoli, G., Levi, D., Winternitz, P., « Heisenberg algebra, umbral calculus and orthogonal polynomials », Journal of Mathematical Physics, 49:5 (May 2008), 053509, 19 pages.
  • Marquette, I., Winternitz, P., « Superintegrable systems with third-order integrals of motion », Journal of Physics A. Mathematical and Theoretical, 41:30 (August 2008), 304031, 10 pages.
  • Rodríguez, M. A., Tempesta, P., Winternitz, P., « Reduction of superintegrable systems: The anisotropic harmonic oscillator », Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 78:04 (October 2008), 046608, 6 pages.
  • Bourlioux, A., Rebêlo, R., Winternitz, P., « Symmetry preserving discretization of $\operatorname{SL}(2,\mathbb{R})$ invariant equations », Journal of Nonlinear Mathematical Physics, 15:Suppl. 3 (October 2008), 362–372.
  • Rodríguez, M. A., Tempesta, P., Winternitz, P., « Symmetry reduction and superintegrable Hamiltonian systems », Journal of Physics. Conference Series, 175, Workshop on Higher Symmetries in Physics (Madrid, 2008) (2009), 012013, 8 pages.
  • Snobl, L., Winternitz, P., « All solvable extensions of a class of nilpotent Lie algebras of dimension $n$ and degree of nilpotency $n - 1$ », Journal of Physics A. Mathematical and Theoretical 42:10 (March 2009), 105201, 16 pages.
  • Winternitz, P., « Superintegrability with second- and third-order integrals of motion », Physics of Atomic Nuclei, 72:5 (May 2009), 875–882.
  • Tremblay, F., Turbiner, A., Winternitz, P., « An infinite family of solvable and integrable quantum systems on a plane », Journal of Physics A. Mathematical and Theoretical, 42:24 (June 2009), 242001, 10 pages.
  • Winternitz, P., Yurduşen, İ., « Integrable and superintegrable systems with spin in three-dimensional Euclidean space », Journal of Physics A. Mathematical and Theoretical, 42:38 (September 2009), 385203, 20 pages.
  • Rebêlo, R., Winternitz, P., « Invariant difference schemes and their application to $\operatorname{sl}(2,\mathbb{R})$ invariant ordinary differential equations », Journal of Physics A. Mathematical and Theoretical, 42:45 (November 2009), 454016, 10 pages.
  • Tremblay, F., Winternitz, P., « Third-order superintegrable systems separating in polar coordinates  », Journal of Physics A. Mathematical and Theoretical, 43:17 (April 2010), 175206, 17 pages.
  • Post, S., Winternitz, P., « An infinite family of superintegrable deformations of the Coulomb potential  », Journal of Physics A. Mathematical and Theoretical, 43:22 (June 2010), 222001, 11 pages.
  • Levi, D., Winternitz, P., Yamilov, R., « Lie point symmetries of differential-difference equations », Journal of Physics A. Mathematical and Theoretical, 43:29 (July 2010), 292002, 14 pages.
  • Post, S., Winternitz, P., « A nonseparable quantum superintegrable system in 2D real Euclidean space », Journal of Physics A. Mathematical and Theoretical, 44:16 (April 2011), 162001, 8 pages.
Peer-reviewed conference proceedings:
  • Winternitz, P., Yurduşen, İ., « Superintegrable systems with spin in two- and three-dimensional Euclidean spaces », in Symmetry and Perturbation Theory, Symmetry and Perturbation Theory — SPT 2007 (Otranto, 2007), G. Gaeta, R. Vitolo, S. Walcher, eds., Hackensack, NJ, World Sci. Publ., 2008, 215–222.
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