Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

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This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA, USA. The very wide range of topics represented in this volume illustrates the importance of methods and ideas originating in the theory of integrable systems to such diverse areas of mathematics as algebraic geometry, combinatorics, and probability theory. The volume offers a balanced combination of survey articles and research papers with important new results.
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Product details

  • Paperback | 348 pages
  • 177.8 x 254 x 19.05mm | 535.24g
  • Providence, United States
  • English
  • 0821887475
  • 9780821887479

Table of contents

Nonlinear PDEs for Fredholm determinants arising from string equations by M. Adler, M. Cafasso, and P. van Moerbeke The semiclassical modified nonlinear Schrodinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data by J. C. DiFranco and P. D. Miller Peakon-antipeakon interactions in the Degasperis-Procesi equation by J. Szmigielski and L. Zhou Duality and collisions of harmonically constrained Calogero particles by A. Kasman A class of higher order Painleve systems arising from integrable hierarchies of type $A$ by T. Suzuki Toward a classification of four-dimensional Painleve-type equations by H. Kawakami, A. Nakamura, and H. Sakai R. Fuchs' problem of the Painleve equations from the first to the fifth by Y. Ohyama and S. Okumura Differential equations for triangle groups by S. Chakravarty Hirota equation and the quantum plane by A. Doliwa On the geometry of $Q_4$ mapping by A. S. Carstea Tau function and the Prym class by D. Korotkin and P. Zograf The spectral curve of the Eynard-Orantin recursion via the Laplace transform by O. Dumitrescu, M. Mulase, B. Safnuk, and A. Sorkin Continuum limits of Toda lattices for map enumeration by V. U. Pierce
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About Anton Dzhamay

Anton Dzhamay, University of Northern Colorado, Greeley, CO, USA

Kenichi Maruno and Virgil U. Pierce, University of Texas-Pan American, Edinburg, TX, USA
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