## ＜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) [2016] 1 online resource (xi, 461 pages : illustrations) Chapter 1. IntroductionChapter 2. Poissonization and de-PoissonizationChapter 3. Permutations and Young tableauxChapter 4. Bounds of the expected value of $\ell _N$Chapter 5. Orthogonal polynomials, Riemann-Hilbert problems, and Toeplitz matricesChapter 6. Random matrix theoryChapter 7. Toeplitz determinant formulaChapter 8. Fredholm determinant formulaChapter 9. Asymptotic resultsChapter 10. Schur measure and directed last passage percolationChapter 11. Determinantal point processesChapter 12. Tiling of the Aztec diamondChapter 13. The Dyson process and Brownian Dyson processAppendix A. Theory of trace class operators and Fredholm determinantsAppendix B. Steepest-descent method for the asymptotic evaluation of integrals in the complex planeAppendix C. Basic results of stochastic calculus 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 recordHTTP:URL=http://www.ams.org/gsm/172 Information=ContentsHTTP:URL=https://doi.org/10.1090/gsm/172 Information=Contents

オンライン

EB00103116

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データ種別 電子ブック LCC:QA188DC23:511/.6 4000113092 9781470432089