J. Harnad publications (since 2000)
(with links to .pdf files retrievable from ArXiv data base, journal site, AMS bookstore or full text files)

• J. Harnad and A. Yu. Orlov, "Polynomial KP and BKP $\backslash tau$functions and correlators" arXiv:2011.13339
• J. Harnad, "Weighted Hurwitz numbers, $\backslash tau$ functions and matrix integrals" arXiv:2002.07935, Proceedings of XIth International Symposium on Quantum Theory and Symmetries (Springer, in press 2021)
• J. Harnad and F. Balogh, "Tau-functions and their Applications", Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, U.K. (2021).
• J. Harnad and A. Yu. Orlov, "Bilinear expansion of Schur functions in Schur Q-functions: a fermionic approach", arXiv:2008.13734 , Proc. Amer. Math. Soc. (in press, 2021)
• J. Harnad and B. Runov, "Constellations and tau-functions for rationally weighted Hurwitz numbers", arXiv:2006.01872, Ann. Inst. H. Poincare D (in press, 2021)
• J. Harnad and A. Yu. Orlov, "Bilinear expansions of lattices of KP tau-functions in BKP tau-functions: A fermionic approach", J. Math. Phys. 62, 013508 (2021)
• F. Balogh, J. Harnad and J. Hurtubise, "Isotropic Grassmannians, Plücker and Cartan maps", J. Math. Phys. 62, 021701 (2021)
• J. Harnad and B. Runov, "Matrix model generating function for quantum weighted Hurwitz numbers", J. Phys. A: Math. Theor. 53 065201 (2020)
• M. Bertola, J. Harnad and B. Runov, "Generating weighted Hurwitz numbers", J. Math. Phys. 61, 013506 (2020)
• M. Bertola and J. Harnad, "Rationally weighted Hurwitz numbers, Meijer G-functions and matrix models", J. Math. Phys. 60, 103504 (2019)
• A. Alexandrov, G. Chapuy, B. Eynard and J. Harnad, "Weighted Hurwitz numbers and topological recursion", Commun. Math. Phys. 360, 777-826 (2018)
• J. Harnad and Eunghyun Lee, "Symmetric polynomials, generalized Jacobi-Trudi identities and tau-functions", J. Math. Phys. 59, 091411 (2018)
• A. Alexandrov, G. Chapuy, B. Eynard and J. Harnad, "Weighted Hurwitz numbers and topological recursion: an overview", J. Math. Phys. 59, 081102 (2018)
• A. Alexandrov, G. Chapuy, B. Eynard and J. Harnad, "Fermionic approach to weighted Hurwitz numbers and topological recursion", Commun. Math. Phys. 360: 777-826 (2018)
• J. Harnad and Janosch Ortmann, "Asymptotics of quantum weighted Hurwitz numbers" J. Phys. A: Math. Theor. 51 225201 (2018)
• M. Guay-Paquet and J. Harnad, "Generating functions for weighted Hurwitz numbers", J. Math. Phys., 58, 083503 (2017)
• J. Harnad, "Weighted Hurwitz numbers and hypergeometric tau - functions: an overview", Proc. Symp. Pure Math. 93, 289 -332 (2016)
• J. Harnad, "Quantum Hurwitz numbers and Macdonald polynomials", J. Math. Phys., 57, 113505 (2016)
• J. Harnad, ``Open refereeing'', Physics World 29, No. 2, 18 (2016)
• J. Harnad, "Multispecies weighted Hurwitz numbers" SIGMA 11, 097 19 pages (2015)
• J. Harnad and A. Yu. Orlov, "Hypergeometric tau-functions, Hurwitz numbers and enumeration of paths", Commun. Math. Phys. 338, 267-284 (2015)
• J. Harnad and A. Yu. Orlov, "Convolution symmetries of integrable hierarchies, matrix models and tau-functions",
  pp. 247-275 in: Random Matrix Theory, Interacting Particle Systems, and Integrable Systems, MSRI Publications vol. 65 (eds. P. Deift and P. Forrester), Cambridge University Press, 2014.
• F. Balogh, T, Dinis da Fonseca and J. Harnad, "Finite Dimensional KP tau functions. I. Finite Grassmannians", J. Math. Phys. 55 (8), 083517 (2014).
• J. Harnad, "Realities of open access", Physics World 26, 24 (2013)
• J. Harnad, A. Yu. Orlov, Determinantal identity for multilevel systems and finite determinantal processes, J. Anal. Math. Phys. 2, 105-121 (2012).
• J. Harnad and V. Enolski Schur function expansions of KP tau functions associated to algebraic curves", Russian Math. Surveys 66:4 767-807 (2011) (Uspekhi Mat. Nauk. 66, 137-178 (2011)).
• J. Harnad, J.W. van de Leur and A. Yu. Orlov, "Multiple sums and integrals as neutral BKP tau functions", Theor. Math. Phys. 168, 951-962 (2011)
• J. Harnad (ed.) Random Matrices, Random Processes and Integrable Systems, (CRM Series in Mathematical Physics, Springer, Verlag, New York (2011). Springer
• J. Harnad and P. Winternitz (eds.), Groups and Symmetries: From the Neolithic Scots to John McKay, CRM Proceedings and Lecture Note Series 47, Providence R.I., 2009. AMS publications
• F. Balogh and J. Harnad, "Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials", Complex Analysis and Operator Theory 3, 333-360 (2009)
• J. Harnad and J. Hurtubise, "Multi-Hamiltonian structures for R-matrix systems", J. Math. Phys. 49, 062903 (2008)
• J. Harnad, Review of "The Trouble with Physics", by Lee Smolin, Mathematical Intelligencer 33,Number 3 66 - 69 (2008)
• J. Harnad, "Free for all", Physics World 21, 16-17 (2008)
• J. Harnad and A. Yu. Orlov, "Fermionic construction of tau functions and random process" Physica D 235, 168-206 (2007)
• J. Harnad and A. Yu. Orlov, "Fermionic construction of partition function for multi-matrix models and multi-component Toda Lattice hierarchy" Theor. Math. Phys. 152, 1099-1110 (2007)
• J. Harnad and A. Yu. Orlov, "Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions" J. Phys. A 39, No. 28, 8783-8810 (2006)
• M. Bertola, B. Eynard and J. Harnad, "Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions", Commun. Math. Phys. 263, 401-437 (2006)
• 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)
• 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 arXiv: nlin/0303009
• J. Harnad, "Janossy densities, multimatrix spacing distributions and Fredholm resolvents", Int. Math. Res. Notices Vol. 48, 2599-2609 (2004)
• 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)
• J. Harnad and A. Yu. Orlov, "Scalar products of symmetric functions and matrix integrals", Theor. Math. Phys. 137, 1676-1690 (2003)
• J. Harnad and A. Yu. Orlov, "Matrix integrals as Borel sums of Schur function expansions", in:
  Symmetries and Perturbation theory SPT2002, pp.116-123, (World Scientific, Singapore), 2003, eds. S. Abenda and G. Gaeta and S. Walcher and arxiv:nlin/0209035
• M. Bertola, B. Eynard, J. Harnad, "Duality of spectral curves arising in two-matrix models", Theor. Math. Phys. 134, 27-38 (2003)
• M. Bertola, B. Eynard, J. Harnad, "Partition functions for Matrix Models and Isomonodromic Tau functions", J. Phys. A. Math, Gen. 36, 3067-3983 (2003)
• J. Harnad and J. Hurtubise "Multi-Hamiltonian structures for r-matrix systems", J. Math. Phys. 49, 062903 (2008).
• 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)
• M. Bertola, B. Eynard, J. Harnad, "Duality, Biorthogonal Polynomials and Multi-Matrix Models", Commun. Math. Phys. 229, 57-71 (2002)
• J. Harnad and Alexander R. Its, "Integrable Fredholm Operators and Dual Isomonodromic Deformations", Commun. Math. Phys. 226, 497-530 (2002)
• 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: solv-int/9902012 and
  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).AMS Bookstore
• J. Harnad and J. McKay, "Modular Solutions to Equations of Generalized Halphen Type", Proc. R. Soc. Lond. 456, 261-294 (2000)

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