Baik, Jinho, 1973-

Combinatorics and random matrix theory / Jinho Baik, Percy Deift, Toufic Suidan. - xi, 461 pages : illustrations ; 26 cm. - Graduate studies in mathematics ; 172 .

Includes bibliographical references and index.

9780821848418 (hbk. : acidfree paper)


Random matrices.
Combinatorial analysis.
Combinatorics -- Enumerative combinatorics -- Exact enumeration problems, generating functions.
Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices.
Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions.
Partial differential equations -- Equations of mathematical physics and other areas of application -- Riemann-Hilbert problems.
Approximations and expansions -- Approximations and expansions -- Asymptotic approximations, asymptotic expansions (steepest descent, etc.).
Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators.
Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions.
Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52).
Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory.
Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Exactly solvable dynamic models.

QA188 / .B3345 2016


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