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
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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.