J. Harnad publications (1993-2006)
(with links to .pdf files retrievable from ArXiv data base, journal site or AMS bookstore)

• J. Harnad and A. Yu. Orlov, "Integrals of Rational Symmetric Functions, Two-Matrix Models and Biorthogonal Polynomials", J. Math. Phys. (To appear: August 2006), preprint CRM-3196 (2005) math-ph/0603040
• J. Harnad and A. Yu. Orlov, "Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions" J. Phys. A 8783-8810 (2006) and math-ph/0512056
• M. Bertola, B. Eynard and J. Harnad, "Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions", Commun. Math. Phys. 263, 401-437 (2006) and nlin.SI/0410043
• J. Harnad, I. Loutsenko and and O. Yermolayeva, "Constrained reductions of 2D dispersionless Toda hierarchy, Hamiltonian structure and interface dynamics", J. Math. Phys. 46 (112701) (2005) and (math-ph/0312058)
• P. Tempesta, P.Winternitz, J. Harnad, W. Miller, G. Pogosyan, and M. Rodriguez (eds.) "Superintegrability in classical and quantum systems", CRM Proc. Lecture Notes 37, (Amer. Math. Soc., Providence, RI, 2004). AMS Bookstore
• J. Harnad and O. Yermolayeva "Superintegrability, Lax matrices and separation of variables", in: Superintegrability in classical and quantum systems, 65--73, CRM Proc. Lecture Notes, 37, Amer. Math. Soc., Providence, RI, 2004 and nlin.SI/0303009
• J. Harnad, "Janossy densities, multimatrix spacing distributions and Fredholm resolvents", Int. Math. Res. Notices Vol. 48, 2599-2609 (2004) and math-ph/0403007
• P.Winternitz, J. Harnad, C.S. Lam and J. Patera (eds.) "Symmetry in Physics: In memory of Robert T. Sharp", CRM Proc. Lecture Notes 34, (Amer. Math. Soc., Providence, RI, 2004). AMS Bookstore
• M. Bertola, B. Eynard, J. Harnad, "Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem", Commun. Math. Phys. 243, 193-240 (2003) and nlin.SI/0208002
• J. Harnad and A. Yu. Orlov, "Scalar products of symmetric functions and matrix integrals", Theor. Math. Phys. 137, 1676-1690 (2003) and nlin.SI/0211051
• J. Harnad and A. Yu. Orlov, "Matrix integrals as Borel sums of Schur function expansions", In: Symmetries and Perturbation theory SPT2002, eds. S. Abenda and G. Gaeta and S. Walcher (World Scientific, Singapore), 2003. nlin.SI/0209035
• M. Bertola, B. Eynard, J. Harnad, "Duality of spectral curves arising in two-matrix models", Theor. Math. Phys. 134, 27-38 (2003) and nlin.SI/0112006
• M. Bertola, B. Eynard, J. Harnad, "Partition functions for Matrix Models and Isomonodromic Tau functions", J. Phys. A. Math, Gen. 36, 3067-3983 (2003) and nlin.SI/0204054
• J. Harnad and J. Hurtubise "Multi-Hamiltonian structures for r-matrix systems", math-ph/0211076 preprint CRM-2850 (2002)
• J. Harnad, A. Zhedanov and O. Yermolaeva., "R-Matrix Approach to the Krall-Scheffer Problem", in: Proceedings of Fourth International Conference "Symmetry in Nonlinear Mathematical Physics", eds. A.G. Nikitin, V.M. Boyko and R.O. Popovy. Proc. Inst. Math., 43, 314-320 (2002) (NAS, Ukraine)
• J. Harnad, "On the Bilinear Equations for Fredholm Determinants Appearing in Random Matrices", J. Nonlinear Math. Phys. 9, 530--550 (2002) and solv-int/9906004
• M. Bertola, B. Eynard, J. Harnad, "Duality, Biorthogonal Polynomials and Multi-Matrix Models", Commun. Math. Phys. 229, 57-71 (2002) and nlin.SI/0108049
• J. Harnad and Alexander R. Its, "Integrable Fredholm Operators and Dual Isomonodromic Deformations", Commun. Math. Phys. 226, 497-530 (2002) and solv-int/9706002
• J. Harnad and Alexander Its, (eds.) "Isomonodromic deformations and applications in physics", CRM Proc. Lecture Notes 31, (Amer. Math. Soc., Providence, RI, 2002). AMS Bookstore
• J. Harnad, "Virasoro generators and bilinear equations for isomonodromic tau functions", in: J. Harnad and Alexander Its, (eds.) "Isomonodromic deformations and applications in physics", CRM Proc. Lecture Notes 31, 27-36 (Amer. Math. Soc., Providence, RI, 2002). AMS Bookstore
• J. Harnad, L. Vinet, O. Yermolayeva and A. Zhedanov, "Two-dimensional Krall-Sheffer polynomials and integrable systems", J. Phys. A: Math. Gen. 34, 10619-106251 (2001)
• J. Harnad, "Dual Isomonodromic Tau Functions and Determinants of Integrable Fredholm Operators", in: Random Matrices and their Applications, MSRI Publications 40, 209-223, (2001), (eds. P. Bleher, A. Its). MSRI postscript files
• J. Harnad, "Loop Groups, R-Matrices and Separation of Variables ", Chapter of "Integrable Systems: From Classical to Quantum", CRM Proc. Lecture Notes 26, pp. 21-54, (Amer. Math. Soc., Providence, RI, 2000), (eds. J. Harnad, G. Sabidussi and P.Winternitz) AMS Bookstore
• J. Harnad, G. Sabidussi and P.Winternitz (eds.), "Integrable Systems: From Classical to Quantum ", CRM Proc. Lecture Notes 26, (Amer. Math. Soc., Providence, RI, 2000). AMS Bookstore
• J. Harnad, "Picard-Fuchs Equations, Hauptmoduls and Integrable Systems ", Chapter 8 (pgs. 137-152) of: Integrability: The Seiberg-Witten and Witham Equations, Ed. H.W. Braden and I.M. Krichever, Gordon and Breach, Amsterdam (2000). solv-int/9902013
• J. Harnad and J. McKay "Modular Invariants and Generalized Halphen Systems", in: Symmetries and Integrability of Difference Equations, CRM Proceedings and Lecture Notes Series 25, 181-195, eds. Decio Levy and Orlando Ragnisco, (AMS, Providence R.I., 2000). solv-int/9902012 and AMS Bookstore
• J. Harnad and J. McKay, "Modular Solutions to Equations of Generalized Halphen Type", Proc. R. Soc. Lond. 456, 261-294 (2000) and solv-int/9804006
• J. Harnad and A. Kasman, (eds.) "The Bispectral Problem", CRM Proc. Lecture Notes 14, (Amer. Math. Soc., Providence, RI, 1998). AMS Bookstore
• J. Harnad, "Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method", CRM Proc. Lecture Notes 14, 67-79 (Amer. Math. Soc., Providence, RI, 1998). solv-int/9710016
• J. Harnad, "Hamiltonian Dynamics, Classical $R$--matrices and Isomonodromic Deformations" , Springer Lecture notes in Physics 502 (Springer, Berlin, New York, 1998), ed. H. Aratyn et al. solv-int/9710012
• J. Harnad, "Bispectral Operators of Rank 1 and Dual Isomonodromic Deformations", CRM Proc. Lecture Notes 11, 155-167 (Amer. Math. Soc., Providence, RI, 1998). (C.R.M. 25th Anniversary volume) solv-int/9612012
• M.R. Adams, J. Harnad and J. Hurtubise, "Darboux Coordinates on Coadjoint Orbits of Lie Algebras", Lett. Math. Phys. 40, 41-57 (1997). solv-int/9603001
• J. Harnad, "Quantum Isomonodromic Deformations and the Knizhnik-Zamolodchikov Equations", (in: Symmetries and Integrability of Difference Equations, CRM Proc. Lecture Notes 9, 155-161 (Amer. Math. Soc., Providence, RI, 1996) (eds. D. Levi, L. Vinet and P. Winternitz). hep-th/9406078
• J. Harnad and M.-A. Wisse, "Loop Algebra Moment Maps and Hamiltonian Models for the Painleve Transcendants", Fields Inst. Commun. 7, 155-169 (1996). hep-th/9305027
• J. Harnad and M. Routhier, "R-Matrix Construction of Electromagnetic Models for the Painlevé Transcendents", J. Math. Phys. 36, 4863-4881 (1995). hep-th/9406077
• J. Harnad and P. Winternitz, "Hyperspherical Harmonics, Separation of Variables and the Bethe Ansatz", Lett. Math. Phys. 33 (1995). hep-th/9405085
• J. Harnad and P. Winternitz, "Classical and Quantum Integrable Systems in $\wt{\gr{gl}}(2)^{+*}$ and Separation of Variables" Commun. Math. Phys. 172, 263-286 (1995). hep-th/9312035
• J. Harnad and B.A. Kupershmidt, "Symplectic Geometries on $T^*\widetilde{G}$, Hamiltonian Group Actions and Integrable Systems", J. Geom. Phys. 16, 168-206 (1995). hep-th/9210095
• J. Harnad and S. Shnider, "Isotropic Geometry, Twistors and Super-twistors. II. Odd Dimensional Spaces, Reality Conditions and Supertwistors", J. Math. Phys. 36, 1945-1970 (1995).
• J. Harnad, "Dual Isomonodromic Deformations and Moment Maps to Loop Algebras", Commun. Math. Phys. 166 (1994) 337-366. hep-th/9301076
• J. Harnad, "Constrained Hamiltonian Systems on Lie Groups, Moment Map Reductions and Central Extensions", Can. J. Phys. 72, 375-388 (1994).
• J. Harnad, "Isospectral Flow and Liouville-Arnold Integration in Loop Algebras", Springer Lecture Notes in Physics 424, 1-42 (1993), Springer-Verlag, N.Y., Heidelberg, ed. G. Helminck. hep-th/9306127
• J. Harnad and M.-A. Wisse, "Moment Maps to Loop Algebras, Classical R-Matrix and Integrable Systems", (in: "Quantum Groups Integrable Models and Statistical Systems", World Scientific, Singapore (1993), ed. J. Letourneux and L. Vinet). hep-th/9301104
• J. Harnad, C. A. Tracy, and H. Widom, "Hamiltonian Structure of Equations Appearing in Random Matrices", NATO ASI Series B, Vol. 314, 231-245 (1993) (Plenum Press, NY, ed. H. Osborn). hep-th/9301051
• M.R. Adams, J. Harnad and J. Hurtubise, "Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras", Commun. Math. Phys. 155, 385-413 (1993). hep-th/9210089
• L. Feher, J. Harnad and I. Marshall, "Generalized Drinfeld-Sokolov Reductions and KdV Type Hierarchies", Commun. Math. Phys. 154, 181-214 (1993). hep-th/9210037
• J. Harnad and M.-A. Wisse, "Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation", J. Math. Phys. 34, 3518-3526 (1993). hep-th/9210077

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