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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.

This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé 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...

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Bibliographic Details
Other Authors: Dzhamay, Anton, 1970- (Editor), Maruno, Ken'ichi, 1971- (Editor), Ormerod, Christopher M., 1982- (Editor)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2015]
Series:Contemporary mathematics (American Mathematical Society) ; v. 651.
Subjects:
Painlevé equations > Congresses.
Algebra > Congresses.
Algebra.
Painlevé equations.
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 > 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 Schrödinger)
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.
Conference papers and proceedings.
Table of Contents:
  • Padé Interpolation and Hypergeometric Series / Masatoshi Noumi
  • A q-analogue of the Drinfeld-Sokolov Hierarchy of Type A and q-Painlevé system / Takao Suzuki
  • Fractional Calculus of Quantum Painlevé Systems of Type Al(1) / Hajime Nagoya
  • Spectral Curves and Discrete Painlevé Equations / Christopher M. Ormerod
  • Geometric Analysis of Reductions from Schlesinger Transformations to Difference Painlevé Equations / Anton Dzhamay and Tomoyuki Takenawa
  • Beta Ensembles, Quantum Painlevé Equations and Isomonodromy Systems / Igor Rumanov
  • Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation with a One-Sided Non-Zero Boundary Condition / B. Prinari and F. Vitale.

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