Algebraic and analytic aspects of integrable systems and painlevé equations : AMS special session, algebraic and analytic aspects of integrable systems and painlevé equations, January 18, 2014, Baltimore, Maryland

Author(s)

• Dzhamay, Anton
• Maruno, Ken'ichi
• Ormerod, Christopher M.
• AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations

Bibliographic Information

Algebraic and analytic aspects of integrable systems and painlevé equations : AMS special session, algebraic and analytic aspects of integrable systems and painlevé equations, January 18, 2014, Baltimore, Maryland

Anton Dzhamay, Kenichi Maruno, Christopher M. Ormerod, editors

（Contemporary mathematics, 651）

American Mathematical Society, c2015

Other Title

Integrable systems and painlevé equations

Note

Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD. The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory. Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painleve equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications.

Table of Contents

Pade interpolation and hypergeometric series by M. Noumi A $q$-analogue of the Drinfeld-Sokolov hierarchy of type $A$ and $q$-Painleve system by T. Suzuki Fractional calculus of quantum Painleve systems of type $A^{(1)}_1$ by H. Nagoya Spectral curves and discrete Painleve equations by C. M. Ormerod Geometric analysis of reductions from Schlesinger transformations to difference Painleve equations by A. Dzhamay and T. Takenawa Beta ensembles, quantum Painleve equations and isomonodromy systems by I. Rumanov Inverse scattering transform for the focusing nonlinear Schrodinger equation with a one-sided non-zero boundary condition by B. Prinari and F. Vitale

by "Nielsen BookData"

• NCID: BB19928142
• ISBN:
  • 9781470416546
• LCCN: 2015011076
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xi, 194 p.
• Size: 26 cm
• Classification:
  • LCC : QA372
  • DC23 : 515/.39
• Subject Headings:
  • LCSH : Painlevé equations -- Congresses
  • LCSH : Algebra -- Congresses
• Parent Bibliography ID:
  • BA00009927