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E-raamat: Algebraic and Geometric Aspects of Integrable Systems and Random Matrices

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  • Formaat: 345 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-May-2013
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470409913
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Algebraic and Geometric Aspects of Integrable Systems and Random MatricesSuurem pilt
  • Formaat: 345 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-May-2013
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470409913
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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.
Preface vii
List of Participants
xi
Nonlinear PDEs for Fredholm determinants arising from string equations
1(28)
Mark Adler
Mattia Cafasso
Pierre van Moerbeke
The semiclassical modified nonlinear Schrodinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
29(54)
Jeffery C. DiFranco
Peter D. Miller
Peakon-antipeakon interactions in the Degasperis-Procesi equation
83(26)
Jacek Szmigielski
Lingjun Zhou
Duality and collisions of harmonically constrained Calogero particles
109(16)
Alex Kasman
A class of higher order Painleve systems arising from integrable hierarchies of type A
125(18)
Takao Suzuki
Toward a classification of four-dimensional Painleve-type equations
143(20)
Hiroshi Kawakami
Akane Nakamura
Hidetaka Sakai
R. Fuch's problem of the Painleve equations from the first to the fifth
163(16)
Yousuke Ohyama
Shoji Okumura
Differential equations for triangle groups
179(26)
Sarbarish Chakravarty
Hirota equation and the quantum plane
205(26)
Adam Doliwa
On the geometry of Q4 mapping
231(10)
Adrian Stefan Carstea
Tau function and the Prym class
241(22)
Dmitri Korotkin
Peter Zograf
The spectral curve of the Eynard-Orantin recursion via the Laplace transform
263(54)
Olivia Dumitrescu
Motohico Mulase
Brad Safnuk
Adam Sorkin
Continuum limits of Toda lattices for map enumeration
317
Virgil U. Pierce
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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