Algebraic and analytic aspects of integrable systems and painleve equations : AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD / [electronic resource] Anton Dzhamay, Kenichi Maruno, Christopher M. Ormerod, editors. - 1 online resource (pages cm.) - Contemporary mathematics, v. 651 0271-4132 (print); 1098-3627 (online); .

Includes bibliographical references and index.

Pad�e Interpolation and Hypergeometric Series / A $q$-analogue of the Drinfeld-Sokolov Hierarchy of Type $A$ and $q$-Painlev�e System / Fractional Calculus of Quantum Painlev�e Systems of Type $A_l^$ / Spectral Curves and Discrete Painlev�e Equations / Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlev�e Equations / Beta Ensembles, Quantum Painlev�e Equations and Isomonodromy Systems / Inverse Scattering Transform for the Focusing Nonlinear Schr�odinger Equation with a One-Sided Non-Zero Boundary Condition / Masatoshi Noumi -- Takao Suzuki -- Hajime Nagoya -- Christopher M. Ormerod -- Anton Dzhamay and Tomoyuki Takenawa -- Igor Rumanov -- B. Prinari and F. Vitale -- http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13034 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13037 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13045 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13046 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13044 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13036 http://www.ams.org/conm/651/ http://dx.doi.org/10.1090/conm/651/13035

Access is restricted to licensed institutions


Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web


Painlev�e equations--Congresses.
Algebra--Congresses.
Ordinary differential equations -- Differential equations in the complex domain -- Painlev�e and other special equations; classification, hierarchies;.
Ordinary differential equations -- Differential equations in the complex domain -- Isomonodromic deformations.
Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.).
Difference and functional equations -- Difference equations -- Difference equations, additive.
Partial differential equations -- Equations of mathematical physics and other areas of application -- NLS-like equations (nonlinear Schr�odinger).
Algebraic geometry -- Birational geometry -- Birational automorphisms, Cremona group and generalizations.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Applications to integrable systems.
Special functions (33-XX deals with the properties of functions as functions) -- Hypergeometric functions -- Generalized hypergeometric series, $.
Approximations and expansions -- Approximations and expansions -- Interpolation.
Quantum theory -- Groups and algebras in quantum theory -- Relations with integrable systems.

QA372 / .A37 2015

515/.39