Algebraic and geometric aspects of integrable systems and random matrices : [electronic resource] AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors.
By: AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices (2012 : Boston, Mass.).
Contributor(s): Dzhamay, Anton | Maruno, Ken'ichi | Pierce, Virgil U.
Material type:
BookSeries: Contemporary mathematics, v. 593.Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Copyright date: �2013Description: 1 online resource (xii, 345 pages : illustrations).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470409913 (online).Subject(s): Painlev�e equations -- Congresses | Differential equations, Nonlinear -- Congresses | Hamiltonian systems -- 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.) | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Soliton theory, asymptotic behavior of solutions | Combinatorics -- Graph theory -- Enumeration in graph theory | Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) | Algebraic geometry -- Curves -- Families, moduli (analytic) | Difference and functional equations -- Difference equations -- Multiplicative and other generalized difference equations, e.g. of Lyness type | Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlev�e-type functions | Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52)Additional physical formats: Algebraic and geometric aspects of integrable systems and random matrices :DDC classification: 516.3/52 Other classification: 34M55 | 34M56 | 37K10 | 37K40 | 05C30 | 14D21 | 14H15 | 39A20 | 33E17 | 60B20 Online resources: Contents | Contents Includes bibliographical references.
Nonlinear PDEs for Fredholm determinants arising from string equations / Mark Adler, Mattia Cafasso and Pierre van Moerbeke -- The semiclassical modified nonlinear Schr�odinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data / Jeffery C. DiFranco and Peter D. Miller -- Peakon-antipeakon interactions in the Degasperis-Procesi equation / Jacek Szmigielski and Lingjun Zhou -- Duality and collisions of harmonically constrained Calogero particles / Alex Kasman -- A class of higher order Painlev�e systems arising from integrable hierarchies of type $A$ / Takao Suzuki -- Toward a classification of four-dimensional Painlev�e-type equations / Hiroshi Kawakami, Akane Nakamura and Hidetaka Sakai -- R. Fuchs' problem of the Painlev�e equations from the first to the fifth / Yousuke Ohyama and Shoji Okumura -- Differential equations for triangle groups / Sarbarish Chakravarty -- Hirota equation and the quantum plane / Adam Doliwa -- On the geometry of $Q_4$ mapping / A. S. Carstea -- Tau function and the Prym class / D. Korotkin and P. Zograf -- The spectral curve of the Eynard-Orantin recursion via the Laplace transform / Olivia Dumitrescu, Motohico Mulase, Brad Safnuk and Adam Sorkin -- Continuum limits of Toda lattices for map enumeration / Virgil U. Pierce --
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013
Mode of access : World Wide Web
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