Algebraic and analytic aspects of integrable systems and painleve equations : [electronic resource] AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD / Anton Dzhamay, Kenichi Maruno, Christopher M. Ormerod, editors.
Contributor(s): Dzhamay, Anton [editor.] | Maruno, Ken'ichi [editor.] | Ormerod, Christopher M [editor.].
Material type:
BookSeries: Contemporary mathematics, v. 651.Publisher: Providence, Rhode Island : American Mathematical Society, [2015]Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeSubject(s): 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 systemsAdditional physical formats: Algebraic and analytic aspects of integrable systems and painleve equations :DDC classification: 515/.39 Other classification: 34M55 | 34M56 | 37K10 | 39A10 | 35Q55 | 14E07 | 17B80 | 33C20 | 41A05 | 81R12 Online resources: Contents | Contents Includes bibliographical references and index.
Pad�e Interpolation and Hypergeometric Series / Masatoshi Noumi -- A $q$-analogue of the Drinfeld-Sokolov Hierarchy of Type $A$ and $q$-Painlev�e System / Takao Suzuki -- Fractional Calculus of Quantum Painlev�e Systems of Type $A_l^{(1)}$ / Hajime Nagoya -- Spectral Curves and Discrete Painlev�e Equations / Christopher M. Ormerod -- Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlev�e Equations / Anton Dzhamay and Tomoyuki Takenawa -- Beta Ensembles, Quantum Painlev�e Equations and Isomonodromy Systems / Igor Rumanov -- Inverse Scattering Transform for the Focusing Nonlinear Schr�odinger Equation with a One-Sided Non-Zero Boundary Condition / B. Prinari and F. Vitale --
http://dx.doi.org/10.1090/conm/651/13034
http://dx.doi.org/10.1090/conm/651/13037
http://dx.doi.org/10.1090/conm/651/13045
http://dx.doi.org/10.1090/conm/651/13046
http://dx.doi.org/10.1090/conm/651/13044
http://dx.doi.org/10.1090/conm/651/13036
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
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