Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 67, 2012, Boston, MA
 Responsibility
 Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors.
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 xii, 345 pages : illustrations ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) v. 593.
Access
Creators/Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 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 Peakonantipeakon interactions in the DegasperisProcesi 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 fourdimensional Painlevetype 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 EynardOrantin 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 67, 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Painlevé equations > Congresses.
 Differential equations, Nonlinear > Congresses.
 Hamiltonian systems > Congresses.
 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 > Infinitedimensional Hamiltonian systems > Completely integrable systems, integrability tests, biHamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
 Dynamical systems and ergodic theory > Infinitedimensional 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 (33XX deals with the properties of functions as functions) > Other special functions > Painlevétype functions.
 Probability theory and stochastic processes > Probability theory on algebraic and topological structures > Random matrices (probabilistic aspects; for algebraic aspects see 15B52)
Bibliographic information
 Publication date
 2013
 Series
 Contemporary mathematics ; 593
 ISBN
 9780821887479 (paperback)
 0821887475 (paperback)