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The Oxford handbook of random matrix...

Akemann, Gernot,

The Oxford handbook of random matrix theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Oxford handbook of random matrix theory /editors, Gernot Akemann, Jinho Baik, Philippe Di Francesco
其他題名:	Handbook of random matrix theory
其他作者:	Akemann, Gernot,
面頁冊數:	xxxi, 919 pages, 2 unnumbered pages of plates : illustrations (black and white, and colour) ; 25 cm
附註:	First published 2011. First published in paperback 2015.
標題:	Random matricesCongresses.
電子資源:	http://dx.doi.org/10.1093/oxfordhb/9780198744191.001.0001

The Oxford handbook of random matrix theory /
The Oxford handbook of random matrix theory /Handbook of random matrix theoryeditors, Gernot Akemann, Jinho Baik, Philippe Di Francesco - xxxi, 919 pages, 2 unnumbered pages of plates : illustrations (black and white, and colour) ; 25 cm

First published 2011. First published in paperback 2015.

Includes bibliographical references and index.

Introduction: --G. Akenmann, J. Baik and P. Di Francesco; --

With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach. In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry. Further, all main extensions of the classical Gaussian ensembles of Wigner and Dyson are introduced including sparse, heavy tailed, non-Hermitian or multi-matrix models. In the second and larger part, all major applications are covered, in disciplines ranging from physics and mathematics to biology and engineering. This includes standard fields such as number theory, quantum chaos or quantum chromodynamics, as well as recent developments such as partitions, growth models, knot theory, wireless communication or bio-polymer folding. The handbook is suitable both for introducing novices to this area of research and as a main source of reference for active researchers in mathematics, physics and engineering"Subjects--Topical Terms:

444669
Random matrices
--Congresses.Index Terms--Genre/Form:

774816
Handbooks and manuals.

LC Class. No.: QA188 / .O94 2015

The Oxford handbook of random matrix theory /
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050 4 $a QA188 $b .O94 2015
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245 0 4 $a The Oxford handbook of random matrix theory / $c editors, Gernot Akemann, Jinho Baik, Philippe Di Francesco
246 3 0 $a Handbook of random matrix theory
264 1 $a Oxford, U.K. ; $a New York : $b Oxford University Press, $c [2015].
264 4 $c ©2015
300 $a xxxi, 919 pages, 2 unnumbered pages of plates : $b illustrations (black and white, and colour) ; $c 25 cm
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a First published 2011. First published in paperback 2015.
504 $a Includes bibliographical references and index.
505 0 0 $t Introduction: -- $t Introduction and guide to the Handbook / $r G. Akenmann, J. Baik and P. Di Francesco; -- $t History: an overview / $r O. Bohigas and H.A. Weidenm�uller -- $t Properties of Random Matrix Theory: -- $t Symmetry classes / $r M.R. Zirnbauer; -- $t Spectral statisitics of unitary emsembles / $r G.W. Anderson; -- $t Spectral statistics of orthogonal and symplectic ensembles / $r M. Adler; -- $t Universality / $r A.B.J. Kuijlaars; -- $t Supersymmetry / $r T. Guhr; -- $t Replica approach in random matrix theory / $r E. Kanzieper; -- $t Painlev�e transcendents / $r A.R. Its; -- $t Random matrix theory and Integrable systems / $r P. van Moerbeke; -- $t Determinantal point processes / $r A. Borodin; -- $t Random matrix representations of critical statistics / $r V.E. Kravtsov; -- $t Heavy-tailed random matrices / $r Z. Burda and J. Jurkiewicz; -- $t Phase transitions / $r G.M. Cicuta and L.G. Molinari; -- $t Two-matrix models and biorthogonal polynomials / $r M. Bertola; -- $t Chain of matricies, loop equations and topological recursion / $r N. Orantin; -- $t Unitary integrals and related matrix models / $r A. Morozov; -- $t Non-Hermitian ensembles / $r B.A. Khoruzhenko and H.-J. Sommers; -- $t Characteristic polynomials / $r E. Br�ezin and S. Hikami; -- $t Beta ensembles / $r P.J. Forrester; -- $t Wigner matrices / $r G. Ben Arous and A. Guionnet; -- $t Free probability theory / $r R. Speicher; -- $t Random banded and sparse matrices / $r T. Spencer -- $t Applications of Random Matrix Theory: -- $t Number theory / $r J.P. Keating and N.C. Snaith; -- $t Random permutations and related topics / $r G. Olshanski; -- $t Enumeration of maps / $r J. Bouttier; -- $t Knot theory and matrix integrals / $r P. Zinn-Justin and J.-B. Zuber; -- $t Multivariate statistics / $r N. El Karoui; -- $t Algrebraic geometry and matrix models / $r L.O. Chekhov; -- $t Two-dimensional quantum gravity / $r I. Kostov; -- $t String theory / $r M. Mari�no; -- $t Quantum chromodynamics / $r J.J.M. Verbaarschot; -- $t Quantum chaos and quantum graphs / $r S. M�uller and M. Sieber; -- $t Resonance scattering of waves in chaotic systems / $r Y.V. Fyodorov and D.V. Savin; -- $t Condensed matter physics / $r C.W.J. Beenakker; -- $t Classical and quantum optics / $r C.W.J. Beenakker; -- $t Extreme eigenvalues of Wishart matrices: application to entangled bipartite system / $r S.N. Majumdar; -- $t Random growth models / $r P.L. Ferrari and H. Spohn; -- $t Random matrices and Laplacian growth / $r A. Zabrodin; -- $t Financial applications of random matrix theory: a short review / $r J.-P. Bouchard and M. Potters; -- $t Asymptotic singular value distributions in information theory / $r A.M. Tulino and S. Verd�u; -- $t Random matrix theory and ribonucleic acid (RNA) folding / $r G. Vernizzi and H. Orland; -- $t Complex networks / $r G.J. Rodgers and T. Nagao
520 8 $a With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach. In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry. Further, all main extensions of the classical Gaussian ensembles of Wigner and Dyson are introduced including sparse, heavy tailed, non-Hermitian or multi-matrix models. In the second and larger part, all major applications are covered, in disciplines ranging from physics and mathematics to biology and engineering. This includes standard fields such as number theory, quantum chaos or quantum chromodynamics, as well as recent developments such as partitions, growth models, knot theory, wireless communication or bio-polymer folding. The handbook is suitable both for introducing novices to this area of research and as a main source of reference for active researchers in mathematics, physics and engineering"
588 $a Description based on online resource ; title from Oxford Handbooks Online metadata (Viewed April 20, 2020).
650 0 $a Random matrices $v Congresses. $3 444669
650 7 $a Random matrices. $3 240098
655 7 $a Handbooks and manuals. $2 fast $3 774816
700 1 $a Akemann, Gernot, $e editor of compilation. $3 857149
700 1 $a Baik, Jinho, $d 1973- $3 563090
700 1 $a Di Francesco, Philippe, $e editor of compilation. $3 857150
856 4 0 $3 Oxford Handbooks Online $u http://dx.doi.org/10.1093/oxfordhb/9780198744191.001.0001
994 $a C0 $b TWNUK