MARC Record from Library of Congress

LEADER: 05341cam a22003614a 4500
001 2011029624
003 DLC
005 20140203112312.0
008 110819s2011 enka bf 000 0 eng
010 $a 2011029624
016 7 $a015789480$2Uk
020 $a9780199574001
020 $a0199574006
035 $a(OCoLC)ocn747385631
040 $aDLC$cDLC$dYDX$dCDX$dYDXCP$dUKMGB$dBWX$dSTF$dIUL$dPUL$dDLC
042 $apcc
050 00 $aQA188$b.O94 2011
082 00 $a512/.5$223
084 $aMAT003000$aMAT026000$2bisacsh
245 04 $aThe Oxford handbook of random matrix theory /$ceditors, Gernot Akemann, Jinho Baik, Philippe Di Francesco.
246 30 $aHandbook of random matrix theory
260 $aOxford ;$aNew York :$bOxford University Press,$c2011.
300 $axxxi, 919 p. :$bill. ;$c26 cm.
504 $aIncludes bibliographical references.
505 00 $gPart I.$tIntroduction:$g1.$tIntroduction and guide to the Handbook /$rG. Akenmann, J. Baik and P. Di Francesco;$g2.$tHistory: an overview /$rO. Bohigas and H.A. Weidenmüller --$gPart II.$tProperties of Random Matrix Theory:$g3.$tSymmetry classes /$rM.R. Zirnbauer;$g4.$tSpectral statisitics of unitary emsembles /$rG.W. Anderson;$g5.$tSpectral statistics of orthogonal and symplectic ensembles /$rM. Adler;$g6.$tUniversality /$rA.B.J. Kuijlaars;$g7.$tSupersymmetry /$rT. Guhr;$g8.$tReplica approach in random matrix theory /$rE. Kanzieper;$g9.$tPainlevé transcendents /$rA.R. Its;$g10.$tRandom matrix theory and Integrable systems /$rP. van Moerbeke;$g11.$tDeterminantal point processes /$rA. Borodin;$g12.$tRandom matrix representations of critical statistics /$rV.E. Kravtsov;$g13.$tHeavy-tailed random matrices /$rZ. Burda and J. Jurkiewicz;$g14.$tPhase transitions /$rG.M. Cicuta and L.G. Molinari;$g15.$tTwo-matrix models and biorthogonal polynomials /$rM. Bertola;$g16.$tChain of matricies, loop equations and topological recursion /$rN. Orantin;$g17.$tUnitary integrals and related matrix models /$rA. Morozov;$g18.$tNon-Hermitian ensembles /$rB.A. Khoruzhenko and H.-J. Sommers;$g19.$tCharacteristic polynomials /$rE. Brézin and S. Hikami;$g20.$tBeta ensembles /$rP.J. Forrester;$g21.$tWigner matrices /$rG. Ben Arous and A. Guionnet;$g22.$tFree probability theory /$rR. Speicher;$g23.$tRandom banded and sparse matrices /$rT. Spencer --$gPart III.$tApplications of Random Matrix Theory:$g24.$tNumber theory /$rJ.P. Keating and N.C. Snaith;$g25.$tRandom permutations and related topics /$rG. Olshanski;$g26.$tEnumeration of maps /$rJ. Bouttier;$g27.$tKnot theory and matrix integrals /$rP. Zinn-Justin and J.-B. Zuber;$g28.$tMultivariate statistics /$rN. El Karoui;$g29.$tAlgrebraic geometry and matrix models /$rL.O. Chekhov;$g30.$tTwo-dimensional quantum gravity /$rI. Kostov;$g31.$tString theory /$rM. Mariño;$g32.$tQuantum chromodynamics /$rJ.J.M. Verbaarschot;$g33.$tQuantum chaos and quantum graphs /$rS. Müller and M. Sieber;$g34.$tResonance scattering of waves in chaotic systems /$rY.V. Fyodorov and D.V. Savin;$g35.$tCondensed matter physics /$rC.W.J. Beenakker;$g36.$tClassical and quantum optics /$rC.W.J. Beenakker;$g37.$tExtreme eigenvalues of Wishart matrices: application to entangled bipartite system /$rS.N. Majumdar;$g38.$tRandom growth models /$rP.L. Ferrari and H. Spohn;$g39.$tRandom matrices and Laplacian growth /$rA. Zabrodin;$g40.$tFinancial applications of random matrix theory: a short review /$rJ.-P. Bouchard and M. Potters;$g41.$tAsymptotic singular value distributions in information theory /$rA.M. Tulino and S. Verdú;$g42.$tRandom matrix theory and ribonucleic acid (RNA) folding /$rG. Vernizzi and H. Orland;$g43.$tComplex networks /$rG.J. Rodgers and T. Nagao.
520 $a"With a foreword by Freeman Dyson, the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach. In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry. Further, all main extensions of the classical Gaussian ensembles of Wigner and Dyson are introduced including sparse, heavy tailed, non-Hermitian or multi-matrix models. In the second and larger part, all major applications are covered, in disciplines ranging from physics and mathematics to biology and engineering. This includes standard fields such as number theory, quantum chaos or quantum chromodynamics, as well as recent developments such as partitions, growth models, knot theory, wireless communication or bio-polymer folding. The handbook is suitable both for introducing novices to this area of research and as a main source of reference for active researchers in mathematics, physics and engineering"--$cProvided by publisher.
650 0 $aRandom matrices$vHandbooks, manuals, etc.
700 1 $aAkemann, Gernot.
700 1 $aBaik, Jinho,$d1973-
700 1 $aDi Francesco, Philippe.
856 42 $3Contributor biographical information$uhttp://www.loc.gov/catdir/enhancements/fy1402/2011029624-b.html
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy1402/2011029624-d.html
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy1402/2011029624-t.html