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Combinatorics and random matrix theory /

Baik, Jinho, (1973-)

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Combinatorics and random matrix theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Combinatorics and random matrix theory // Jinho Baik, Percy Deift, Toufic Suidan.
作者:	Baik, Jinho,
其他作者:	Deift, Percy,
面頁冊數:	1 online resource (xi, 461 pages : illustrations)
標題:	Random matrices. -
電子資源:	http://www.ams.org/gsm/172
電子資源:	https://doi.org/10.1090/gsm/172
ISBN:	9781470432089 (online)

Combinatorics and random matrix theory /
Baik, Jinho,1973-

Combinatorics and random matrix theory /[electronic resource] Jinho Baik, Percy Deift, Toufic Suidan. - 1 online resource (xi, 461 pages : illustrations) - Graduate Studies in Mathematics, v. 172.

Includes bibliographical references and index.

Chapter 1. Introduction

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2016

Mode of access : World Wide Web

ISBN: 9781470432089 (online)Subjects--Topical Terms:

646309
Random matrices.

LC Class. No.: QA188 / .B3345 2016

Dewey Class. No.: 511/.6

Combinatorics and random matrix theory /
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245 1 0 $a Combinatorics and random matrix theory / $h [electronic resource] $c Jinho Baik, Percy Deift, Toufic Suidan.
264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2016]
300 $a 1 online resource (xi, 461 pages : illustrations)
336 $a text $2 rdacontent
337 $a unmediated $2 rdamedia
338 $a volume $2 rdacarrier
490 0 $a Graduate Studies in Mathematics, $v v. 172
504 $a Includes bibliographical references and index.
505 0 0 $t Chapter 1. Introduction $t Chapter 2. Poissonization and de-Poissonization $t Chapter 3. Permutations and Young tableaux $t Chapter 4. Bounds of the expected value of $\ell _N$ $t Chapter 5. Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matrices $t Chapter 6. Random matrix theory $t Chapter 7. Toeplitz determinant formula $t Chapter 8. Fredholm determinant formula $t Chapter 9. Asymptotic results $t Chapter 10. Schur measure and directed last passage percolation $t Chapter 11. Determinantal point processes $t Chapter 12. Tiling of the Aztec diamond $t Chapter 13. The Dyson process and Brownian Dyson process $t Appendix A. Theory of trace class operators and Fredholm determinants $t Appendix B. Steepest-descent method for the asymptotic evaluation of integrals in the complex plane $t Appendix C. Basic results of stochastic calculus
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2016
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
650 0 $a Random matrices. $3 646309
650 0 $a Combinatorial analysis. $3 523878
650 7 $a Combinatorics -- Enumerative combinatorics -- Exact enumeration problems, generating functions. $2 msc $3 3775592
650 7 $a Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices. $2 msc $3 3775593
650 7 $a Special functions (33-XX deals with the properties of functions as functions) -- Other special functions -- PainlevÃ©-type functions. $2 msc $3 3775594
650 7 $a Partial differential equations -- Equations of mathematical physics and other areas of application -- Riemann-Hilbert problems. $2 msc $3 3775595
650 7 $a Approximations and expansions -- Approximations and expansions -- Asymptotic approximations, asymptotic expansions (steepest descent, etc.). $2 msc $3 3775596
650 7 $a Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operators. $2 msc $3 3775597
650 7 $a Convex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions. $2 msc $3 3775598
650 7 $a Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Random matrices (probabilistic aspects; for algebraic aspects see 15B52). $2 msc $3 3775599
650 7 $a Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. $2 msc $3 3775543
650 7 $a Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Exactly solvable dynamic models. $2 msc $3 3775600
700 1 $a Deift, Percy, $d 1945- $3 1083979
700 1 $a Suidan, Toufic Mubadda, $d 1975- $3 3775591
776 0 $i Print version: $a Baik, Jinho, 1973- $t Combinatorics and random matrix theory / $w (DLC) 2015051274 $x 1065-7339 $z 9780821848418
856 4 $3 Contents $u http://www.ams.org/gsm/172
856 4 $3 Contents $u https://doi.org/10.1090/gsm/172