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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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電子ブック オンライン

Graduate studies in mathematics 9781470432089
電子リソース
EB00103116

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データ種別 電子ブック
分 類 LCC:QA188
DC23:511/.6
書誌ID 4000113092
ISBN 9781470432089

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