Algebraic and geometric aspects of integrable systems and random matrices : 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.
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TextSeries: Contemporary mathematicsDescription: xii, 345 pages : illustrationsISBN: 9780821887479 (paperback : alk. paper); 0821887475 (paperback : alk. paper)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)DDC classification: 510 Other classification: 34M55 | 34M56 | 37K10 | 37K40 | 05C30 | 14D21 | 14H15 | 39A20 | 33E17 | 60B20
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