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＜電子ブック＞
Combinatorics and random matrix theory / Jinho Baik, Percy Deift, Toufic Suidan
(Graduate Studies in Mathematics ; v. 172)

出版者	(Providence, Rhode Island : American Mathematical Society)
出版年	[2016]
大きさ	1 online resource (xi, 461 pages : illustrations)
著者標目	*Baik, Jinho 1973- Deift, Percy 1945- Suidan, Toufic Mubadda 1975-
件　名	LCSH:Random matrices LCSH:Combinatorial analysis FREE:Combinatorics -- Enumerative combinatorics -- Exact enumeration problems, generating functions  全ての件名で検索 FREE:Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices  全ての件名で検索 FREE:Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- Painlevé-type functions  全ての件名で検索 FREE:Partial differential equations -- Equations of mathematical physics and other areas of application -- Riemann-Hilbert problems  全ての件名で検索 FREE:Approximations and expansions -- Approximations and expansions -- Asymptotic approximations, asymptotic expansions (steepest descent, etc.)  全ての件名で検索 FREE:Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators  全ての件名で検索 FREE:Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions  全ての件名で検索 FREE:Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52)  全ての件名で検索 FREE:Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory  全ての件名で検索 FREE:Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Exactly solvable dynamic models  全ての件名で検索
内容注記	Chapter 1. Introduction Chapter 2. Poissonization and de-Poissonization Chapter 3. Permutations and Young tableaux Chapter 4. Bounds of the expected value of $\ell _N$ Chapter 5. Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matrices Chapter 6. Random matrix theory Chapter 7. Toeplitz determinant formula Chapter 8. Fredholm determinant formula Chapter 9. Asymptotic results Chapter 10. Schur measure and directed last passage percolation Chapter 11. Determinantal point processes Chapter 12. Tiling of the Aztec diamond Chapter 13. The Dyson process and Brownian Dyson process Appendix A. Theory of trace class operators and Fredholm determinants Appendix B. Steepest-descent method for the asymptotic evaluation of integrals in the complex plane Appendix C. Basic results of stochastic calculus
一般注記	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2016 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/172 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/172 Information=Contents

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