Line Baribeau
Peer-reviewed journal articles:
- Baribeau, L., Rivard, P., Wegert, E., « On hyperbolic divided differences and the Nevanlinna-Pick problem », Computational Methods and Function Theory, 9:2 (2009), 391–405.
Abraham Boyarsky
Peer-reviewed journal articles:
- Boyarsky, A., Góra, P., « A definition of time », International Journal of Theoretical Physics, 48:6 (June 2009), 1589–1595.
- Boyarsky, A., Góra, P., « An irreversible process represented by a reversible one », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 18:7 (July 2008), 2059–2061.
- Boyarsky, A., Góra, P., Proppe, H., « A model of the holographic principle: Randomness and additional dimension », Physics Letters A, 374:3-4 (January 2010), 435–438.
- Boyarsky, A., Góra, P., « A random map model for quantum interference », Communications in Nonlinear Science and Numerical Simulation, 15:8 (August 2010), 1974–1979.
- Boyarsky, A., Góra, P., « Chaos of dynamical systems on general time domains », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 19:11 (November 2009), 3829–3832.
Francis H. Clarke
Book chapters:
- Clarke, F. H., « Necessary Conditions in Optimal Control and in the Calculus of Variations », in Differential Equations, Chaos and Variational Problems, V. Staicu, eds., Progress in Nonlinear Differential Equations and Their Applications, volume 75, Birkhäuser Verlag, 2008.
- Clarke, F. H., « Nonsmooth Analysis in Systems and Control Theory », in Encyclopedia of Complexity and Systems Science, R.A. Meyers, eds., Springer, 2009.
Peer-reviewed journal articles:
- Bousquet, P., Clarke, F. H., « Local Lipschitz continuity of solutions to a problem in the calculus of variations », Journal of Differential Equations, 243:2 (December 2007), 489–503.
- Clarke, F. H., « A Lipschitz regularity theorem », Ergodic Theory and Dynamical Systems, 27:6 (December 2007), 1713–1718.
- Clarke, F. H., « The Pontryagin maximum principle and a unified theory of dynamic optimization », Proceedings of the Steklov Institute of Mathematics, 268:1 (April 2010), 58–69.
- Clarke, F. H., Ledyaev, Y., de Pinho, M. d. R., « An extension of the Schwarzkopf multiplier rule in optimal control », SIAM Journal on Control and Optimization, 49:2 (2011), 599–610.
- Clarke, F. H., de Pinho, M. d. R., « Optimal control problems with mixed constraints », SIAM Journal on Control and Optimization, 48:7 (2010), 4500–4524.
- Clarke, F. H., « A general theorem on necessary conditions in optimal control », Discrete and Continuous Dynamical Systems. Series A, 29:2 (February 2011), 485–503.
- Clarke, F. H., Vinter, R. B., « Stability analysis of sliding-mode feedback control », Control and Cybernetics, 38:4A (2009), 1169–1192.
- Clarke, F. H., de Pinho, M. d. R., « The nonsmooth maximum principle », Control and Cybernetics, 38:4A (2009), 1151–1167.
Peer-reviewed conference proceedings:
- Clarke, F. H., « Regularity of solutions to one-dimensional and multi-dimensional problems in the calculus of variations », in Geometric Control and Nonsmooth Analysis, In Honor of the 73rd Birthday of H Hermes and of the 71st Birthday of R T Rockafellar (Rome, 2006), F. Ancona, A. Bressan, P. Cannarsa, F. Clarke, P. R. Wolenski, eds., Series on Advances in Mathematics for Applied Sciences, World Sci. Publ., 2008, 151–163.
Octav Cornea
Peer-reviewed journal articles:
- Barraud, J.-F., Cornea, O., « Lagrangian intersections and the Serre spectral sequence », Annals of Mathematics. Second Series, 166:3 (2007), 657–722.
- Barraud, J.-F., Cornea, O., « Quantization of the Serre spectral sequence », Journal of Symplectic Geometry, 5:3 (September 2007), 249–280.
- Biran, P., Cornea, O., « Rigidity and uniruling for Lagrangian manifolds », Geometry & Topology, 13:5 (September 2009), 2881–2989.
- Cornea, O., de Rezende, K. A., da Silveira, M. R., « Spectral sequences in Conley’s theory », Ergodic Theory and Dynamical Systems, 30:4 (August 2010), 1009–1054.
Peer-reviewed conference proceedings:
- Biran, P., Cornea, O., « A Lagrangian quantum homology », in New Perspectives and Challenges in Symplectic Field Theory, New Perspectives and Challenges in Symplectic Field Theory (Stanford, CA, 2007), M. Abreu, F. Lalonde, L. Polterovich, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2009, 1–44.
Research reports:
- Cornea, O., Biran, P., « Quantum structures for Lagrangian submanifolds », arXiv:0708.4221, August 2007.
Galia Dafni
Peer-reviewed journal articles:
- Dafni, G., Karadzhov, G. E., Xiao, J., « Classes of Carleson-type measures generated by capacities », Mathematische Zeitschrift, 258:4 (2008), 827–844.
- Yue, H., Dafni, G., « A John–Nirenberg type inequality for $Q_\alpha(\mathbb{R}^n)$ », Journal of Mathematical Analysis and Applications, 351:1 (March 2009), 428–439.
- Chang, D.-C., Dafni, G., Yue, H., « A div-curl decomposition for the local Hardy space », Proceedings of the American Mathematical Society, 137:10 (October 2009), 3369–3377.
- Badr, N., Dafni, G., « An atomic decomposition of the Hajłasz Sobolev space $M_1^1$ on manifolds », Journal of Functional Analysis, 259:6 (September 2010), 1380–1420.
Peer-reviewed conference proceedings:
- Chang, D.-C., Dafni, G., Yue, H., « Nonhomogeneous div-curl decompositions for local Hardy spaces on a domain », in Hilbert Spaces of Analytic Functions, Hilbert Spaces of Analytic Functions (Montréal, QC, 2008), J. Mashreghi, T. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 153–163.
Stephen W. Drury
Peer-reviewed journal articles:
- Drury, S. W., « OMC for scalar multiples of unitaries », Linear Algebra and its Applications, 422:1 (2007), 318–325.
- Drury, S. W., « Symbolic calculus of operators with unit numerical radius », Linear Algebra and its Applications, 428:8-9 (April 2008), 2061–2069.
- Drury, S. W., « Von Neumann's inequality for noncommuting contractions », Linear Algebra and its Applications, 428:1 (January 2008), 305–315.
Richard Fournier
Peer-reviewed journal articles:
- Dryanov, D., Fournier, R., Ruscheweyh, S., « Some extensions of the Markov inequality for polynomials », The Rocky Mountain Journal of Mathematics, 37:4 (2007), 1155–1166.
- Fournier, R., Ponnusamy, S., « A class of locally univalent functions defined by a differential inequality », Complex Variables and Elliptic Equations, 52:1 (January 2007), 1–8.
- Dryanov, D., Fournier, R., « Equality cases for two polynomial inequalities », Godishnik na Sofiiskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika / Annuaire de l'Université de Sofia “St. Kliment Ohridski'”. Faculté de Mathématiques et Informatique, 99 (2009), 169–181.
- Fournier, R., Serban, M., « An extension of Jack’s lemma to polynomials of fixed degree », Computational Methods and Function Theory, 7:2 (September 2007), 371–378.
- Fournier, R., « Asymptotics of the Bohr radius for polynomials of fixed degree », Journal of Mathematical Analysis and Applications, 338:2 (February 2008), 1100–1107.
- Fournier, R., « On a differential inequality », Analysis (Munich), 28:3 (2008), 313–318.
- Dryanov, D., Fournier, R., « Refinement of an inequality of P. L. Chebyshev », Acta Mathematica Hungarica, 122:1-2 (January 2009), 59–69.
- Fournier, R., « On a polynomial inequality », Journal of Mathematical Analysis and Applications, 351:1 (March 2009), 163–169.
- Fournier, R., Letac, G., Ruscheweyh, S., « Estimates for the uniform norm of complex polynomials in the unit disk », Mathematische Nachrichten, 283:2 (January 2010), 193–199.
- Rubio-Sanchez, J., Fournier, R., « The Leibniz criterion and generalized Euler–Mascheroni constants », Dawson Research Journal of Experimental Science, 8 (2011), 18–20.
- Nestoridis, V., Fournier, R., « Non-normal sequences of holomorphic functions and universality », Computational Methods and Function Theory, 11:1 (August 2011), 309–316.
Peer-reviewed conference proceedings:
- Fournier, R., Salinas, L., « On a question of Brézis and Korevaar concerning a class of square-summable sequences », in Banach Spaces of Analytic Functions, Special Session on Banach Spaces of Analytic Functions (Durham, NH, 2006), R. A. Hibschweiler, T. H. MacGregor, ed., Contemporary Mathematics, Providence, RI, Amer. Math. Soc., 2008, 35–42.
- Ruscheweyh, S., Fournier, R., « On the Bohr radius for simply connected domains », in Hilbert Spaces of Analytic Functions, Hilbert Spaces of Analytic Functions (Montréal, QC, 2008), J. Mashreghi, T. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 165–171.
Marlène Frigon
Peer-reviewed journal articles:
- Frigon, M., « Systems of first-order differential inclusions with maximal monotone terms », Nonlinear Analysis: Theory, Methods & Applications, 66:9 (May 2007), 2064–2077.
- Frigon, M., « Global existence of analytic solutions to the Cauchy problem in a complex domain », Journal of Fixed Point Theory and Applications, 1:2 (June 2007), 189–194.
- Beauchemin, N., Frigon, M., « On a notion of category depending on a functional. II: An application to Hamiltonian systems », Nonlinear Analysis: Theory, Methods & Applications, 72:7-8 (April 2010), 3376–3387.
- Beauchemin, N., Frigon, M., « On a notion of category depending on a functional. I: Theory and application to critical point theory », Nonlinear Analysis: Theory, Methods & Applications, 72:7-8 (April 2010), 3356–3375.
- Frigon, M., Gilbert, H., « Existence theorems for systems of third order differential equations », Dynamic Systems and Applications, 19:1 (2010), 1–23.
- Frigon, M., Montoki, E., « Multiplicity results for systems of second order differential equations », Nonlinear Studies, 15:1 (2008), 71–92.
- Frigon, M., « Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions », Fixed Point Theory and Applications, 2010 (2010), 183217, 19 pages.
- Frigon, M., Gilbert, H., « Boundary value problems for systems of second-order dynamic equations on time scales with $\Delta$-Carathéodory functions », Abstract and Applied Analysis, 2010 (2010), Art. ID 234015, 26 pages.
- Frigon, M., Gilbert, H., « Systems of first order inclusions on time scales », Topological Methods in Nonlinear Analysis, 37:1 (March 2011), 147–163.
- Frigon, M., « On some generalizations of Ekeland’s principle and inward contractions in gauge spaces », Journal of Fixed Point Theory and Applications, 10:2 (2011), 279–298.
Peer-reviewed conference proceedings:
- Frigon, M., « Fixed point and continuation results for contractions in metric and in gauge spaces », in Fixed Point Theory and Its Applications, International Conference on Fixed Point Theory and Its Applications (Bedlewo, 2005), J. Jachymski, S. Reich, ed., Banach Center Publications, Varsovie, PWN, 2007, 89–114.
Paul M. Gauthier
Book chapters:
- Gauthier, P. M., Melnikov, M. S., « Compact approximation by bounded functions and functions continuous up to the boundary », in Linear and Complex Analysis: Dedicated to V. P. Havin on the Occasion of His 75th Birthday, A. Alexandrov, A. Baranov, S. Kislyakov, eds., American Mathematical Society Translations: Series 2, Providence, RI, Amer. Math. Soc., 2009.
Peer-reviewed journal articles:
- Gauthier, P. M., Clouâtre, R., « Approximation by translates of Taylor polynomials of the Riemann zeta function », Computational Methods and Function Theory, 8:1 (2008), 15–19.
- Gauthier, P. M., Pouryayevali, M. R., « Universal (pluri)subharmonic functions », Analysis (Munich), 27:2-3 (2007), 1001–1013.
- Chen, H., Gauthier, P. M., « Boundedness from below of composition operators on $\alpha$-Bloch spaces », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 51:2 (June 2008), 195–204.
- Ascah-Coallier, I., Gauthier, P. M., « Value distribution of the Riemann zeta function », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 51:3 (September 2008), 334–336.
- Gauthier, P. M., Zeron, E. S., « Hartogs' theorem on separate holomorphicity for projective spaces », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 52:1 (March 2009), 84–86.
- Chen, H., Gauthier, P. M., « Composition operators on $\mu$-Bloch spaces », Canadian Journal of Mathematics / Journal canadien de mathématiques, 61:1 (February 2009), 50–75.
- Gauthier, P. M., Tarkhanov, N., « Rational approximation and universality for a quasilinear parabolic equation », Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 43:6 (December 2008), 353–364.
- Olivi-Tran, N., Gauthier, P. M., « The FLRW cosmological model revisited: relation of the local time with the local curvature and consequences on the Heisenberg uncertainty principle », Advanced Studies in Theoretical Physics, 2:5-8 (2008), 267–270.
- Gauthier, P. M., « Approximation of and by the Riemann zeta-function », Computational Methods and Function Theory, 10:2 (2010), 603–638.
- Chen, H., Gauthier, P. M., « The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings », Proceedings of the American Mathematical Society, 139:2 (2011), 583–595.
Peer-reviewed conference proceedings:
- Boivin, A., Gauthier, P. M., Zhu, C. Z., « Weighted Hardy spaces for the unit disc: approximation problems », in Complex and Harmonic Analysis, International Conference on Complex and Harmonic Analysis (Thessaloniki, 2006), A. Carberry, P. L. Duren, D. Khavinson, A. G. Siskakis, eds., Lancaster, PA, Destech Publ. Inc., 2007, 129–155.
- Gauthier, P. M., Xarles, X., « Perturbations of $L$-functions with or without non-trivial zeros off the critical line », in New directions in value-distribution theory of zeta and $L$-functions, New Directions in the Theory of Universal Zeta and $L$-Functions (Würzburg, 2008), J. Steuding, R. Steuding, ed., Berichte aus der Mathematik, Aachen, Shaker Verlag, 2009, 65–83.
- Gauthier, P. M., « Whether regularity is local for the generalized Dirichlet problem », in Hilbert Spaces of Analytic Functions, Hilbert Spaces of Analytic Functions (Montréal, 2008), J. Mashreghi, T. Ransford, K. Siep, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 211–214.
Pawel Góra
Peer-reviewed journal articles:
- Góra, P., « An exactly solvable nonlinear model: constructive effects of correlations between Gaussian noises », Physica A. Statistical Mechanics and its Applications, 378:2 (2007), 201–210.
- Boyarsky, A., Góra, P., « A definition of time », International Journal of Theoretical Physics, 48:6 (June 2009), 1589–1595.
- Boyarsky, A., Góra, P., « An irreversible process represented by a reversible one », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 18:7 (July 2008), 2059–2061.
- Bollt, E., Góra, P., Ostruszka, A., Zyczkowski, K., « Basis Markov Partitions and Transition Matrices for Stochastic Systems », SIAM Journal on Applied Dynamical Systems, 7:2 (April 2008), 341–360.
- Góra, P., « Invariant densities for generalized $\beta$-maps », Ergodic Theory and Dynamical Systems, 27:6 (October 2007), 1583–1598.
- Bahsoun, W., Góra, P., Mayoral, S., Morales, M., « Random dynamics and finance: constructing implied binomial trees from a predetermined stationary density », Applied Stochastic Models in Business and Industry, 23:3 (May 2007), 181–212.
- Doosti, H., Islam, M. S., Chaubey, Y. P., Góra, P., « Two-dimensional wavelets for nonlinear autoregressive models with an application in dynamical system », Italian Journal of Pure and Applied Mathematics, 27 (2010), 39–62.
- Boyarsky, A., Góra, P., Proppe, H., « A model of the holographic principle: Randomness and additional dimension », Physics Letters A, 374:3-4 (January 2010), 435–438.
- Bahsoun, W., Góra, P., « SRB measures for certain Markov processes », Discrete and Continuous Dynamical Systems. Series A, 30:1 (May 2011), 17–37.
- Góra, P., Islam, M. S., « Smoothness of density function for random maps », Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis, 17:2 (2010), 249–262.
- Boyarsky, A., Góra, P., « A random map model for quantum interference », Communications in Nonlinear Science and Numerical Simulation, 15:8 (August 2010), 1974–1979.
- Boyarsky, A., Góra, P., « Chaos of dynamical systems on general time domains », International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 19:11 (November 2009), 3829–3832.
Frédéric Gourdeau
Peer-reviewed journal articles:
- Gourdeau, F., Pourrabbas, A., White, M. C., « Simplicial cohomology of some semigroup algebras », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 50:1 (March 2007), 56–70.
- Gourdeau, F., Grønbæk, N., White, M. C., « Homology and cohomology of Rees semigroup algebras », Studia Mathematica, 202:2 (2011), 105–121.
- Gourdeau, F., Langlois, J., Rostand, J., « Théorème du minimax de Gustafson », Annales des sciences mathématiques du Québec, 31:1 (June 2007), 41–49.
Other journal articles:
- Gourdeau, F., « L'infini, c'est gros comment ? », Accromath, 2:1 (2007), 14–17.
- Gourdeau, F., « Voyez-vous ce que je vois ? », Accromath, 3:1 (2008), 18–19.
- Gourdeau, F., « King Kong et les fourmis », Accromath, 3:2 (2008), 18–21.
Pengfei Guan
Peer-reviewed journal articles:
- Guan, P., Lin, C.-S., Ma, X.-N., « The existence of convex body with prescribed curvature measures », International Mathematics Research Notices, 2009:11 (May 2009), 1947–1975.
- Guan, P., Wang, G., « Conformal deformations of the smallest eigenvalue of the Ricci tensor », American Journal of Mathematics, 129:2 (April 2007), 499–526.
- Caffarelli, L. A., Guan, P., Ma, X.-N., « A constant rank theorem for solutions of fully nonlinear elliptic equations », Communications on Pure and Applied Mathematics, 60:12 (December 2007), 1769–1791.
- Guan, P., Lin, C.-S., Wang, G., « Local gradient estimates for quotient equations in conformal geometry », International Journal of Mathematics, 18:4 (April 2007), 349–361.
- Bian, B., Guan, P., « A microscopic convexity principle for nonlinear partial differential equations », Inventiones Mathematicae, 177:2 (November 2009), 307–335.
- Guan, P., Li, Q., Zhang, X., « A uniqueness theorem in Kähler geometry », Mathematische Annalen, 345:2 (October 2009), 377–393.
- Guan, P., Sawyer, E. T., « Regularity of subelliptic Monge-Ampère equations in the plane », Transactions of the American Mathematical Society, 361:9 (September 2009), 4581–4591.
- Bian, B., Guan, P., « Convexity preserving for fully nonlinear parabolic integro-differential equations », Methods and Applications of Analysis, 15:1 (March 2008), 39–51.
- Guan, P., Ma, X.-N., Trudinger, N., Zhu, X., « A form of Alexandrov–Fenchel inequality », Pure and Applied Mathematics Quarterly, 6:4, In honor of Joseph J. Kohn (October 2010), 983–988.
- Guan, P., Li, J.-F., « The quermassintegral inequalities for $k$-convex starshaped domains », Advances in Mathematics, 221:5 (August 2009), 1725–1732.
- Bian, B., Guan, P., « A structural condition for microscopic convexity principle », Discrete and Continuous Dynamical Systems. Series A, 28:2 (October 2010), 789–807.
Peer-reviewed conference proceedings:
- Guan, P., « Remarks on the homogenous complex Monge-Ampère equation », in Complex Analysis, Conference in Complex Analysis 2008 (Fribourg, 2008), P. Ebenfelt, N. Hungerbühler, J. J. Kohn, N. Mok, E. J. Straube, eds., Trends in Mathematics, Basel, Birkhäuser, 2010, 175–185.
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 tau functions and random processes », Physica D: Nonlinear Phenomena, 235:1-2 (November 2007), 168–206.
- Harnad, J., Orlov, A. Y., « Fermionic approach for evaluating integrals of rational symmetric functions », Theoretical and Mathematical Physics, 158:1 (January 2009), 17–39.
- 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 construction of partition function for multimatrix models and multicomponent Toda lattice hierarchy », Theoretical and Mathematical Physics, 152:2 (August 2007), 1099–1110.
- 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., Hurtubise, J., « Multi-Hamiltonian structures for $r$-matrix systems », Journal of Mathematical Physics, 49:6 (June 2008), 062903, 21 pages.
- 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.
Research reports:
- Harnad, J., Orlov, A. Y., « Convolution symmetries of integrable hierarchies, matrix models and $\tau$-functions », Centre de recherches mathématiques, CRM-3272, December 2008.
- Enolskii, V., Harnad, J., « Schur function expansions of KP tau functions associated to algebraic curves », Centre de recherches mathématiques, CRM-3309, November 2010.
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., « 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., 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.
- 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.
- 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., Mangoubi, D., « Tubular neighborhoods of nodal sets and Diophantine approximation », American Journal of Mathematics, 131:4 (August 2009), 1109–1135.
- 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., 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.
Vojkan Jakšić
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.
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., Pillet, C.-A., Rey-Bellet, L., « Entropic fluctuations in statistical mechanics. I: Classical dynamical systems », Nonlinearity, 24:3 (March 2011), 699–763.
- 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.
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.
Tomasz Kaczynski
Peer-reviewed journal articles:
- Kaczynski, T., Mrozek, M., Trahan, A., « Ideas from Zariski topology in the study of cubical sets », Canadian Journal of Mathematics / Journal canadien de mathématiques, 59:5 (October 2007), 1008–1028.
- Allili, M., Corriveau, D., Derivière, S., Kaczynski, T., Trahan, A., « Discrete dynamical system framework for the topological study of lattice height data », Journal of Mathematical Imaging and Vision, 28:2 (June 2007), 99–111.
- Allili, M., Corriveau, D., Derivière, S., Ethier, M., Kaczynski, T., « Detecting critical regions in multidimensional data sets », Computers & Mathematics with Applications, 61:2 (January 2011), 499–512.
- Derivière, S., Kaczynski, T., Vallerand Beaudry, P.-O., « On the decomposition and local degree of multiple saddles », Annales des sciences mathématiques du Québec, 33:1 (June 2009), 45–62.
- Kaczynski, T., « Multivalued maps as a tool in modeling and rigorous numerics », Journal of Fixed Point Theory and Applications, 4:2 (2008), 151–176.
- Dłotko, P., Kaczynski, T., Mrozek, M., Wanner, T., « Coreduction homology algorithm for regular CW-complexes », Discrete & Computational Geometry, 46:2 (September 2011), 361–388.
- Kaczynski, T., Mrozek, M., Dłotko, P., « Computing the cubical cohomology ring », ImageN-A, 1:3 (2010), 137–142.
Peer-reviewed conference proceedings:
- Allili, M., Ethier, M., Kaczynski, T., « Critical region analysis of scalar fields in arbitrary dimensions », in Visualization and Data Analysis 2010, Visualization and Data Analysis — VDA 2010 (San Jose, CA, 2010), J. Park, M. C. Hao, P. C. Wong, C. Chen, eds., Proceedings of SPIE, Bellingham, WA, SPIE, 2010, 753008, 12 pages.
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., « 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.
- 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., « A rigorous treatment of energy extraction from a rotating black hole », Communications in Mathematical Physics, 287:3 (May 2009), 829–847.
- 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.
- 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., « 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.
- 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.
- Barnaby, N., Kamran, N., « Dynamics with infinitely many derivatives: variable coefficient equations », Journal of High Energy Physics, 2008:12 (December 2008), 022, 27 pages.
- 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., « An extension of Bochner's problem: exceptional invariant subspaces », Journal of Approximation Theory, 162:5 (May 2010), 987–1006.
- 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., « Exceptional orthogonal polynomials and the Darboux transformation », Journal of Physics A. Mathematical and Theoretical, 43:43 (October 2010), 434016, 16 pages.
- 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.
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.
Ivo Klemes
Peer-reviewed journal articles:
- Klemes, I., « Alexandrov's inequality and conjectures on some Toeplitz matrices », Linear Algebra and its Applications, 422:1 (2007), 164–185.
Alexey Kokotov
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.
- Kokotov, A., Korotkin, D., « Tau-functions on spaces of Abelian and quadratic differentials and determinants of Laplacians in Strebel metrics of finite volume », Journal of Differential Geometry, 82:1 (May 2009), 35–100.
- 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.
- Klochko, Y., Kokotov, A., « Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians », Manuscripta Mathematica, 122:2 (February 2007), 195–216.
- Kokotov, A., Korotkin, D., Zograf, P., « Isomonodromic tau function on the space of admissible covers », Advances in Mathematics, 227:1 (May 2011), 586–600.
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.
- Kokotov, A., Korotkin, D., « Tau-functions on spaces of Abelian and quadratic differentials and determinants of Laplacians in Strebel metrics of finite volume », Journal of Differential Geometry, 82:1 (May 2009), 35–100.
- 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.
- Korotkin, D., Samtleben, H., « Generalization of Okamoto's equation to arbitrary $2\times2$ Schlesinger system », Advances in Mathematical Physics, 2009 (2009), 461860, 14 pages.
- 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.
Javad Mashreghi
Monographs and books:
- Mashreghi, J., Structures algébriques, Longueuil, Loze-Dion, 2007.
- Mashreghi, J., Representation Theorems in Hardy Spaces 74, London Mathematical Society Student Texts, Cambridge, Cambridge Univ. Press, 2008.
- Mashreghi, J., Ransford, T. J., Seip, K. (EDT), Hilbert Spaces of Analytic Functions 51, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010.
Book chapters:
- Fricain, E., Mashreghi, J., « Exceptional sets for the derivatives of Blaschke products », in Proceedings of the St. Petersburg Mathematical Society. Vol. XIII, N. N. Uraltseva, eds., American Mathematical Society Translations: Series 2, Providence, RI, Amer. Math. Soc., 2008.
Peer-reviewed journal articles:
- Mashreghi, J., Pouryayevali, M. R., « Argument of outer functions on the real line », Illinois Journal of Mathematics, 51:2 (2007), 499–511.
- Mashreghi, J., Rivard, R., « On a conjecture about the eigenvalues of doubly stochastic matrices », Linear and Multilinear Algebra, 55:5 (2007), 491–498.
- Fricain, E., Mashreghi, J., « Boundary behavior of functions of the de Branges–Rovnyak spaces », Complex Analysis and Operator Theory, 2:1 (March 2008), 87–97.
- Jaberi-Douraki, M., Mashreghi, J., « On the population model of the non-autonomous logistic equation of second order with period-two parameters », Journal of Difference Equations and Applications, 14:3 (March 2008), 231–257.
- Jaberi Douraki, M., Dehghan, M. H., Mashreghi, J., « Dynamics of the difference equation $x_{n+1} =\dfrac{x_n + px_{n-k}}{x_n + q}$ », Computers & Mathematics with Applications, 56:1 (July 2008), 186–198.
- Mashreghi, J., Shabankhah, M., « Admissible functions for the Dirichlet space », Studia Mathematica, 198:2 (2010), 147–156.
- Baranov, A., Fricain, E., Mashreghi, J., « Weighted norm inequalities for de Branges-Rovnyak spaces and their applications », American Journal of Mathematics, 132:1 (February 2010), 125–155.
- Mashreghi, J., Shabankhah, M., « Zero sets and uniqueness sets with one cluster point for the Dirichlet space », Journal of Mathematical Analysis and Applications, 357:2 (September 2009), 498–503.
- Mashreghi, J., « The rate of increase of mean values of functions in Hardy spaces », Journal of the Australian Mathematical Society, 86:2 (2009), 199–204.
- Mashreghi, J., Shabankhah, M., « Integral means of the logarithmic derivative of Blaschke products », Computational Methods and Function Theory, 9:2 (2009), 421–433.
- Fricain, E., Mashreghi, J., « Integral representation of the $n$-th derivative in de Branges–Rovnyak spaces and the norm convergence of its reproducing kernel », Annales de l'Institut Fourier, 58:6 (2008), 2113–2135.
- Fricain, E., Mashreghi, J., « Integral means of the derivatives of Blaschke products », Glasgow Mathematical Journal, 50:2 (2008), 233–249.
- Mashreghi, J., Nasri, M., « Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory », Nonlinear Analysis. Theory, Methods & Applications, 72:3-4 (February 2010), 2086–2099.
- Baranov, A., Chalendar, I., Fricain, E., Mashreghi, J., Timotin, D., « Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators », Journal of Functional Analysis, 259:10 (November 2010), 2673–2701.
- Mashreghi, J., Nasri, M., « Strong convergence of an inexact proximal point algorithm for equilibrium problems in Banach spaces », Numerical Functional Analysis and Optimization, 31:9 (2010), 1053–1071.
Peer-reviewed conference proceedings:
- Mashreghi, J., Ransford, T. J., Shabankhah, M., « Arguments of zero sets in the Dirichlet space », in Hilbert Space of Analytic Functions, Hilbert Space of Analytic Functions (Montréal, QC, 2008), J. Mashreghi, T. J. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 143–148.
- Mashreghi, J., « A formula for the logarithmic derivative and its applications », in Hilbert Spaces of Analytic Functions, Hilbert spaces of analytic functions (Montréal, QC, 20080, J. Mashreghi, T. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 197–201.
Nilima Nigam
Peer-reviewed journal articles:
- Chindelevitch, L., Nicholls, D. P., Nigam, N., « Error analysis and preconditioning for an enhanced DtN-FE algorithm for exterior scattering problems », Journal of Computational and Applied Mathematics, 204:2 (July 2007), 493–504.
- Hsiao, G. C., Nigam, N., Sändig, A.-M., « Innovative solution of a 2D elastic transmission problem », Applicable Analysis, 86:4 (April 2007), 459–482.
- Maslowe, S. A., Nigam, N., « The nonlinear critical layer for Kelvin modes on a votex with a continuous velocity profile », SIAM Journal on Applied Mathematics, 68:3 (2007), 825–843.
- Qazi, S., Caberlin, M., Nigam, N., « Mechanism of psychoactive drug action in the brain: Simulation modeling of GABAA receptor interactions at non-equilibrium conditions », Current Pharmaceutical Design, 13:14 (May 2007), 1437–1455.
Peer-reviewed conference proceedings:
- Maslowe, S. A., Nigam, N., « Vortex Kelvin modes with nonlinear critical layers », in IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 2006), A. V. Borisov, V. V. Kozlov, I. S. Mamaev, M. A. Sokolovshiy, eds., IUTAM Bookseries, Dordrecht, Springer, 2008, 163–175.
Yiannis Petridis
Peer-reviewed journal articles:
- Petridis, Y., Risager, M. S., « Hyperbolic lattice-point counting and modular symbols », Journal de théorie des nombres de Bordeaux, 21:3 (2009), 719–732.
- Petridis, Y., Risager, M. S., « Equidistribution of geodesics on homology classes and analogues for free groups », Forum Mathematicum, 20:5 (October 2008), 783–815.
Iosif Polterovich
Monographs and books:
- Jakobson, D., Nonnenmacher, S., Polterovich, I. (EDT), Spectrum and Dynamics 52, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010.
Book chapters:
- Banuelos, R., Kulczycki, T., Polterovich, I., Siudeja, B., « Eigenvalue estimates for mixed Steklov problems », in Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924–2008), M. Levitin, D. Vassiliev, ed., American Mathematical Society Translations: Series 2, Providence, RI, Amer. Math. Soc., 2010.
Peer-reviewed journal articles:
- 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., 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.
- Polterovich, I., « Pleijel’s nodal domain theorem for free membranes », Proceedings of the American Mathematical Society, 137:3 (2009), 1021–1024.
- Girouard, A., Polterovich, I., Nadirashvili, N., « Maximization of the second positive Neumann eigenvalue for planar domains », Journal of Differential Geometry, 83:3 (2009), 637–662.
- Lapointe, H., Polterovich, I., Safarov, Y., « Average growth of the spectral function on a Riemannian manifold », Communications in Partial Differential Equations, 34: 6 (June 2009), 581–615.
- Girouard, A., Polterovich, I., « On the Hersch–Payne–Schiffer inequalities for Steklov eigenvalues », Functional Analysis and its Applications, 44:2 (June 2010), 106–117.
- Girouard, A., Polterovich, I., « Shape optimization for low Neumann and Steklov eigenvalues », Mathematical Methods in the Applied Sciences, 33:4, Complex-Analytic Methods (2010), 501–516.
Other journal articles:
- Polterovich, I., « Spectral asymptotics and dynamics on Riemannian manifolds », Oberwolfach Reports, 4:3 (2007), 2365–2367.
Peer-reviewed conference proceedings:
- Polterovich, I., « Maximization of Neumann and Steklov eigenvalues on planar domains », in Low Eigenvalues of Laplace and Schrödinger Operators, Oberwolfach Reports, no 06/2009, 2009, 367–369.
Thomas J. Ransford
Monographs and books:
- Mashreghi, J., Ransford, T. J., Seip, K. (EDT), Hilbert Spaces of Analytic Functions 51, CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010.
Peer-reviewed journal articles:
- Ransford, T. J., Rostand, J., « Hölder exponents of Green’s functions of Cantor sets », Computational Methods and Function Theory, 8:1 (March 2008), 151–158.
- Ransford, T. J., « On pseudospectra and power growth », SIAM Journal on Matrix Analysis and Applications, 29:3 (June 2007), 699–711.
- Costara, C., Ransford, T. J., « On local irreducibility of the spectrum », Proceedings of the American Mathematical Society, 135:9 (2007), 2779–2784.
- Cuesta-Albertos, J. A., Fraiman, R., Ransford, T. J., « A sharp form of the Cramér–Wold theorem », Journal of Theoretical Probability, 20:2 (June 2007), 201–209.
- Ransford, T. J., Rostand, J., « Computation of capacity », Mathematics of Computation, 76:259 (2007), 1499–1520.
- Burckel, R. B., Marshall, D. E., Minda, D., Poggi-Corradini, P., Ransford, T. J., « Area, capacity and diameter versions of Scharwz’s lemma », Conformal Geometry and Dynamics, 12 (2008), 133–152.
- Rajon, Q., Ransford, T. J., Rostand, J., « Computation of capacity via quadratic programming », Journal des mathématiques pures et appliquées. Neuvième série, 94:4 (October 2010), 398–413.
- El-Fallah, O., Kellay, K., Ransford, T. J., « On the Brown–Shields conjecture for cyclicity in the Dirichlet space », Advances in Mathematics, 222:6 (December 2009), 2196–2214.
- Fortier-Bourque, M., Ransford, T. J., « Super-identical pseudospectra », Journal of the London Mathematical Society, 79:2 (2009), 511–528.
- Rajon, Q., Ransford, T. J., Rostand, J., « Computation of weighted capacity », Journal of Approximation Theory, 162:6 (June 2010), 1187–1203.
- Munroe, P., Ransford, T. J., Genest, C., « Un contre-exemple à une conjecture de Hutchinson et Lai », Comptes rendus. Mathématique, 348:5-6 (March 2010), 305–310.
- Ransford, T. J., Rostand, J., « Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues », Linear Algebra and its Applications, 435:12 (December 2011), 3024–3028.
- Ransford, T. J., « Computation of logarithmic capacity », Computational Methods and Function Theory, 10:2 (2010), 555–578.
- El-Fallah, O., Kellay, K., Ransford, T. J., « Cantor sets and cyclicity in weighted Dirichlet spaces », Journal of Mathematical Analysis and Applications, 372:2 (December 2010), 565–573.
- Chevrot, N., Guillot, D., Ransford, T. J., « De Branges–Rovnyak spaces and Dirichlet spaces », Journal of Functional Analysis, 259:9 (November 2010), 2366–2383.
- Glover, P. W. J., Ransford, T. J., Auger, G., « A simple method for solving the Bussian equation for electrical conduction in rocks », Solid Earth, 1 (2010), 85–91.
Peer-reviewed conference proceedings:
- Ransford, T. J., « Pseudospectra and matrix behaviour », in Banach Algebras 2009, 19th International Conference on Banach Algebras, Bedlewo, 2009, R. J. Loy, V. Runde, A. Sołtysiak, eds., Banach Center Publications, Varsovie, PWN, 2010, 327–338.
- El-Fallah, O., Kellay, K., Ransford, T. J., « Invariant subspaces of the Dirichlet space », in Hilbert Spaces of Analytic Functions, Hilbert Spaces of Analytic Functions (Montréal, QC, 2008), J. Mashreghi, T. J. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 133–141.
- Mashreghi, J., Ransford, T. J., Shabankhah, M., « Arguments of zero sets in the Dirichlet space », in Hilbert Space of Analytic Functions, Hilbert Space of Analytic Functions (Montréal, QC, 2008), J. Mashreghi, T. J. Ransford, K. Seip, eds., CRM Proceedings & Lecture Notes, Providence, RI, Amer. Math. Soc., 2010, 143–148.
- Kantrowitz, R., Neumann, M. M., Ransford, T. J., « Regularity, scrambling, and the steady state for stochastic matrices », in Function Spaces in Modern Analysis, Sixth Conference on Function Spaces (Edwardsville, 2010), K. Jarosz, eds., Contemporary Mathematics, Providence, RI, Amer. Math. Soc., 2011, 153–164.
Dominic Rochon
Book chapters:
- Charak, K. S., Rochon, D., « On factorization of bicomplex meromorphic functions », in Hypercomplex Analysis, I. Sabadini, M. Shapiro, F. Sommen, eds., Trends in Mathematics, Basel, Birkhäuser, 2009.
Peer-reviewed journal articles:
- Charak, K. S., Rochon, D., Sharma, N., « Normal families of bicomplex holomorphic functions », Fractals. Complex Geometry, Patterns, and Scaling in Nature and Society, 17:3 (September 2009), 257–268.
- Garant-Pelletier, V., Rochon, D., « On a generalized Fatou-Julia theorem in multicomplex spaces », Fractals. Complex Geometry, Patterns, and Scaling in Nature and Society, 17:3 (September 2009), 241–255.
- Rochon, D., « On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation », Complex Variables and Elliptic Equations, 53:6 (June 2008), 501–521.
- Kravchenko, V., Rochon, D., Tremblay, S., « On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory », Journal of Physics A. Mathematical and Theoretical, 41:6 (February 2008), 065205, 18 pages.
Jérémie Rostand
Peer-reviewed journal articles:
- Ransford, T. J., Rostand, J., « Hölder exponents of Green’s functions of Cantor sets », Computational Methods and Function Theory, 8:1 (March 2008), 151–158.
- Ransford, T. J., Rostand, J., « Computation of capacity », Mathematics of Computation, 76:259 (2007), 1499–1520.
- Rajon, Q., Ransford, T. J., Rostand, J., « Computation of capacity via quadratic programming », Journal des mathématiques pures et appliquées. Neuvième série, 94:4 (October 2010), 398–413.
- Rajon, Q., Ransford, T. J., Rostand, J., « Computation of weighted capacity », Journal of Approximation Theory, 162:6 (June 2010), 1187–1203.
- Ransford, T. J., Rostand, J., « Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues », Linear Algebra and its Applications, 435:12 (December 2011), 3024–3028.
- Gourdeau, F., Langlois, J., Rostand, J., « Théorème du minimax de Gustafson », Annales des sciences mathématiques du Québec, 31:1 (June 2007), 41–49.
Christiane Rousseau
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:
- Rousseau, C., « The root extraction problem », Journal of Differential Equations, 234 (March 2007), 110–141.
- Lamontagne, Y., Coutu, C., Rousseau, C., « Bifurcation analysis of a predator-prey system with generalised holling type III functional response », Journal of Dynamics and Differential Equations, 20:3 (September 2008), 535–571.
- Rousseau, C., Christopher, C., « Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle », Annales de l'Institut Fourier, 57:1 (2007), 301–360.
- Lambert, C., Rousseau, C., « The Stokes phenomenon in the confluence of the hypergeometric equation usibg Riccati equation », Journal of Differential Equations, 244:10 (May 2008), 2641–2664.
- Christopher, C., Rousseau, C., « The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point », Comptes rendus. Mathématique, 345:12 (December 2007), 695–698.
- Rousseau, C., Teyssier, L., « Analytical moduli for unfoldings of saddle-node vector-fields », Moscow Mathematical Journal, 8:3 (2008), 547–614.
- Etoua, R. M. D., Rousseau, C., « Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III », Journal of Differential Equations, 249:9 (November 2010), 2316–2356.
- Rousseau, C., « The moduli space of germs of generic families of analytic diffeomorphisms unfolding of a codimension one resonant diffeomorphism or resonant saddle », Journal of Differential Equations, 248:7 (April 2010), 1794–1825.
- Dumortier, F., Rousseau, C., « Study of the cyclicity of some degenerate graphics inside quadratic systems », Communications on Pure and Applied Analysis 8:4 (July 2009), 1133–1157.
- Roussarie, R., Rousseau, C., « Finite cyclicity of nilpotent graphics of pp-type surrounding a center », Bulletin of the Belgian Mathematical Society. Simon Stevin, 15:5 (December 2008), 889–920.
Other journal articles:
- Rousseau, C., Saint-Aubin, Y., « Les miroirs ardents », Accromath, 2:1 (2007), 2–5.
- Rousseau, C., Carphin, P., « Mystérieuse lithographie d’Escher », Accromαth, 4 (2009), 18–23.
- Rousseau, C., « Fin du pétrole? Un peu d’imagination ! », Accromath, 4:2 (2009), 14–15.
- Rousseau, C., « Nautile, nombre d’or et spirale dorée », Accromath, 3:2 (2008), 8–11.
- Rousseau, C., Zazoun, R., « Spirales végétales », Accromath, 3:2 (2008), 12–17.
- Rousseau, C., « La cartographie », Accromath, 3:1 (2008), 2–7.
- Rousseau, C., « Fullerènes et polyèdres », Accromath, 2:2 (2007), 10–15.
- Rousseau, C., « L’effet papillon », Accromath, 6:1 (2011), 2–5.
- Rousseau, C., « Au-delà de l'effet papillon », Accromath, 6:1 (2011), 6–7.
- Rousseau, C., « Apprendre à frauder ou à détecter les fraudes ? », Accromath, 5:2 (2010), 2–7.
- Rousseau, C., « Triangle de Reuleaux », Accromath, 5:2 (2010), 8–9.
- Rousseau, C., « Point fixe de Banach », Accromath, 5:1 (2010), 20–23.
- Novikov, D., Rousseau, C., Saint-Aubin, Y., « Les sphères de Dandelin », Accromath, 6:2 (2011), 2–7.
Dana Schlomiuk
Peer-reviewed journal articles:
- Schlomiuk, D., Vulpe, N., « Planar quadratic differential systems with invariant straight lines of total multiplicity 4 », Nonlinear Analysis: Theory, Methods & Applications, 68:4 (February 2008), 681–715.
- Schlomiuk, D., Vulpe, N., « Integrals and phase portraits of planar quadratic differential systems with invariant lines with at least five total multiplicity », The Rocky Mountain Journal of Mathematics, 38:6 (2008), 2015–2075.
- Schlomiuk, D., Vulpe, N., « The full study of planar quadratic differential systems possessing a line of singularities at infinity », Journal of Dynamics and Differential Equations, 20:4 (December 2008), 737–775.
- Christopher, C., Schlomiuk, D., « On general algebraic mechanisms for producing centers in polynomial differential systems », Journal of Fixed Point Theory and Applications, 3:2 (November 2008), 331–351.
- Schlomiuk, D., Vulpe, N., « Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four », Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica / Izvestiya Akademii Nauk Respubliki Moldova. Matematika, 2008:1 (2008), 27–83.
Research reports:
- Schlomiuk, D., Vulpe, N., « Moduli spaces of planar quadratic vector fields with invariant lines of total multiplicity at least four and three distinct infinite singularities », Centre de recherches mathématiques, CRM-3256, January 2008.
- Schlomiuk, D., Naidenova, E., « On the classification of the Lotka-Volterra systems », Centre de recherches mathématiques, CRM-3266, September 2008.
- Schlomiuk, D., Vulpe, N., « Global classification of the planar Lotka-Volterra differential systems according to the configurations of invariant straight lines », Centre de recherches mathématiques, CRM-3294, December 2009.
- Schlomiuk, D., Vulpe, N., « The global topological classification of the Lotka-Volterra quadratic differential systems », Centre de recherches mathématiques, CRM-3312, December 2010.
- Artés, J. C., Llibre, J., Schlomiuk, D., Vulpe, N., « Global analysis of infinite singularities of quadratic vector fields », Centre de recherches mathématiques, CRM-3318, December 2011.
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.
- 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., Hamza, E., Seiringer, R., Solovej, J. P., « The BCS functional for general pair interactions », Communications in Mathematical Physics, 281:2 (July 2008), 349–367.
- 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.
- 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., « Critical temperature and energy gap for the BCS equation », Physical Review B. Condensec Matter and Material Physics, 77:18 (May 2008), 184517, 10 pages.
- 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.
- Frank, R. L., Seiringer, R., « Non-linear ground state representations and sharp Hardy inequalities », Journal of Functional Analysis, 255:12 (December 2008), 3407–3430.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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., 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., « 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., 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.
- 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.
- 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.
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.
Alina Stancu
Peer-reviewed journal articles:
- Stancu, A., « The necessary condition for the discrete $L_0$-Minkowski problem in $\mathbb{R}^2$ », Journal of Geometry, 88:1-2 (March 2008), 162–168.
- Stancu, A., Werner, E., « New higher-order equiaffine invariants », Israel Journal of Mathematics, 171:1 (June 2009), 221–235.
- Stancu, A., « Two volume product inequalities and their applications », Canadian Mathematical Bulletin / Bulletin canadien de mathématiques, 52:3 (September 2009), 464–472.
Other journal articles:
- Stancu, A., « On affine invariants for smooth convex bodies », Oberwolfach Reports, 6:4 (2009), 2881–2883.
Ron J. Stern
Peer-reviewed journal articles:
- Nour, C., Stern, R. J., « Regularity of the state constrained minimal time function », Nonlinear Analysis. Theory, Methods & Applications, 66:1 (2007), 62–72.
- Nour, C., Stern, R. J., Takche, J., « The union of uniform closed balls conjecture », Control and Cybernetics, 38:4B (2009), 1525–1534.
- Nour, C., Stern, R. J., Takche, J., « Generalized exterior sphere conditions, local semiconcavity, and convexity », Discrete and Continuous Dynamical Systems. Series A, 29:2 (2011), 615–622.
- Nour, C., Stern, R. J., Takche, J., « Proximal smoothness and the exterior sphere condition », Journal of Convex Analysis, 16:2 (2009), 501–514.
- Nour, C., Stern, R. J., « Semiconcavity of the bilateral minimal time function : The linear case », Systems & Control Letters, 57:10 (October 2008), 863–866.
- Nour, C., Stern, R. J., « The state constrained bilateral minimal time function », Nonlinear Analysis: Theory, Methods & Applications, 69:10 (2008), 3549–3558.
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., 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., Wigman, I., « Counting open nodal lines of random waves on planar domains », International Mathematics Research Notices, 2009:18 (2009), 3337–3365.
- 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.
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