Title Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors

Published Providence, Rhode Island : American Mathematical Society, [2013] ©2013

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Description 1 online resource (xii, 345 pages) : illustrations (some color) Series Contemporary mathematics ; 593 Contemporary mathematics (American Mathematical Society) ; v. 593. Contents Nonlinear PDEs for Fredholm determinants arising from string equations / Mark Adler, Mattia Cafasso and Pierre van Moerbeke -- http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/'>http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11782 The semiclassical modified nonlinear Schrödinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data / Jeffery C. DiFranco and Peter D. Miller -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11872 Peakon-antipeakon interactions in the Degasperis-Procesi equation / Jacek Szmigielski and Lingjun Zhou -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11873 Duality and collisions of harmonically constrained Calogero particles / Alex Kasman -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11781 A class of higher order Painlevé systems arising from integrable hierarchies of type $A$ / Takao Suzuki -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11875 Toward a classification of four-dimensional Painlevé-type equations / Hiroshi Kawakami, Akane Nakamura and Hidetaka Sakai -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11870 R. Fuchs' problem of the Painlevé equations from the first to the fifth / Yousuke Ohyama and Shoji Okumura -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11876 Differential equations for triangle groups / Sarbarish Chakravarty -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11866 Hirota equation and the quantum plane / Adam Doliwa -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11871 On the geometry of $Q_4$ mapping / A. S. Carstea -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11869 Tau function and the Prym class / D. Korotkin and P. Zograf -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11874 The spectral curve of the Eynard-Orantin recursion via the Laplace transform / Olivia Dumitrescu, Motohico Mulase, Brad Safnuk and Adam Sorkin -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11867 Continuum limits of Toda lattices for map enumeration / Virgil U. Pierce -- http://www.ams.org/conm/593/ http://dx.doi.org/10.1090/conm/593/11868 Bibliography Includes bibliographical references Notes Print version record Subject Painlevé equations -- Congresses Differential equations, Nonlinear -- Congresses Hamiltonian systems -- Congresses Differential equations, Nonlinear Hamiltonian systems Painlevé equations Ordinary differential equations -- Differential equations in the complex domain -- Painlevé and other special equations; classification, hierarchies;. Ordinary differential equations -- Differential equations in the complex domain -- Isomonodromic deformations. Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Soliton theory, asymptotic behavior of solutions. Combinatorics -- Graph theory -- Enumeration in graph theory. Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Algebraic geometry -- Curves -- Families, moduli (analytic) Difference and functional equations -- Difference equations -- Multiplicative and other generalized difference equations, e.g. of Lyness type. Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions. Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52) Genre/Form Conference papers and proceedings Form Electronic book Author Dzhamay, Anton, 1970- editor. Maruno, Ken'ichi, 1971- editor. Pierce, Virgil U., 1976- editor. ISBN 9781470409913 1470409917

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