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Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
 
Edited by: Anton Dzhamay University of Northern Colorado, Greeley, CO
Kenichi Maruno University of Texas-Pan American, Edinburg, TX
Virgil U. Pierce University of Texas-Pan American, Edinburg, TX
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Softcover ISBN:  978-0-8218-8747-9
Product Code:  CONM/593
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-0991-3
Product Code:  CONM/593.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-8747-9
eBook: ISBN:  978-1-4704-0991-3
Product Code:  CONM/593.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
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Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Edited by: Anton Dzhamay University of Northern Colorado, Greeley, CO
Kenichi Maruno University of Texas-Pan American, Edinburg, TX
Virgil U. Pierce University of Texas-Pan American, Edinburg, TX
Softcover ISBN:  978-0-8218-8747-9
Product Code:  CONM/593
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-0991-3
Product Code:  CONM/593.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-8747-9
eBook ISBN:  978-1-4704-0991-3
Product Code:  CONM/593.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5932013; 345 pp
    MSC: Primary 34; 37; 05; 14; 39; 33; 60

    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.

    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.

    Readership

    Graduate students and research mathematicians interested in the various aspects of the theory of integrable systems and its applications, including connections with the theory of random matrices and map enumeration.

  • Table of Contents
     
     
    • Articles
    • Mark Adler, Mattia Cafasso and Pierre van Moerbeke — Nonlinear PDEs for Fredholm determinants arising from string equations
    • Jeffery C. DiFranco and Peter D. Miller — The semiclassical modified nonlinear Schrödinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
    • Jacek Szmigielski and Lingjun Zhou — Peakon-antipeakon interactions in the Degasperis-Procesi equation
    • Alex Kasman — Duality and collisions of harmonically constrained Calogero particles
    • Takao Suzuki — A class of higher order Painlevé systems arising from integrable hierarchies of type $A$
    • Hiroshi Kawakami, Akane Nakamura and Hidetaka Sakai — Toward a classification of four-dimensional Painlevé-type equations
    • Yousuke Ohyama and Shoji Okumura — R. Fuchs’ problem of the Painlevé equations from the first to the fifth
    • Sarbarish Chakravarty — Differential equations for triangle groups
    • Adam Doliwa — Hirota equation and the quantum plane
    • A. S. Carstea — On the geometry of $Q_4$ mapping
    • D. Korotkin and P. Zograf — Tau function and the Prym class
    • Olivia Dumitrescu, Motohico Mulase, Brad Safnuk and Adam Sorkin — The spectral curve of the Eynard-Orantin recursion via the Laplace transform
    • Virgil U. Pierce — Continuum limits of Toda lattices for map enumeration
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5932013; 345 pp
MSC: Primary 34; 37; 05; 14; 39; 33; 60

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.

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.

Readership

Graduate students and research mathematicians interested in the various aspects of the theory of integrable systems and its applications, including connections with the theory of random matrices and map enumeration.

  • Articles
  • Mark Adler, Mattia Cafasso and Pierre van Moerbeke — Nonlinear PDEs for Fredholm determinants arising from string equations
  • Jeffery C. DiFranco and Peter D. Miller — The semiclassical modified nonlinear Schrödinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
  • Jacek Szmigielski and Lingjun Zhou — Peakon-antipeakon interactions in the Degasperis-Procesi equation
  • Alex Kasman — Duality and collisions of harmonically constrained Calogero particles
  • Takao Suzuki — A class of higher order Painlevé systems arising from integrable hierarchies of type $A$
  • Hiroshi Kawakami, Akane Nakamura and Hidetaka Sakai — Toward a classification of four-dimensional Painlevé-type equations
  • Yousuke Ohyama and Shoji Okumura — R. Fuchs’ problem of the Painlevé equations from the first to the fifth
  • Sarbarish Chakravarty — Differential equations for triangle groups
  • Adam Doliwa — Hirota equation and the quantum plane
  • A. S. Carstea — On the geometry of $Q_4$ mapping
  • D. Korotkin and P. Zograf — Tau function and the Prym class
  • Olivia Dumitrescu, Motohico Mulase, Brad Safnuk and Adam Sorkin — The spectral curve of the Eynard-Orantin recursion via the Laplace transform
  • Virgil U. Pierce — Continuum limits of Toda lattices for map enumeration
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.