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. - xii, 345 pages : illustrations ;
- (Contemporary mathematics ; )
9780821887479 (paperback : alk. paper) 0821887475 (paperback : alk. paper) * 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).
* Dzhamay, Anton,Maruno, Ken'ichi,Pierce, Virgil U.,
* Title * Series

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