LEADER 04672nam 22008295 450 001 9910146272903321 005 20200630073829.0 010 $a3-540-44890-X 024 7 $a10.1007/3-540-44890-X 035 $a(CKB)1000000000437263 035 $a(SSID)ssj0000321456 035 $a(PQKBManifestationID)11283929 035 $a(PQKBTitleCode)TC0000321456 035 $a(PQKBWorkID)10279514 035 $a(PQKB)10093682 035 $a(DE-He213)978-3-540-44890-7 035 $a(MiAaPQ)EBC3071644 035 $a(PPN)155195026 035 $a(EXLCZ)991000000000437263 100 $a20121227d2003 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAsymptotic Combinatorics with Applications to Mathematical Physics $eA European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 /$fedited by Anatoly M. Vershik 205 $a1st ed. 2003. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003. 215 $a1 online resource (X, 250 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1815 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-40312-4 320 $aIncludes bibliographical references. 327 $aRandom matrices, orthogonal polynomials and Riemann ? Hilbert problem -- Asymptotic representation theory and Riemann ? Hilbert problem -- Four Lectures on Random Matrix Theory -- Free Probability Theory and Random Matrices -- Algebraic geometry,symmetric functions and harmonic analysis -- A Noncommutative Version of Kerov?s Gaussian Limit for the Plancherel Measure of the Symmetric Group -- Random trees and moduli of curves -- An introduction to harmonic analysis on the infinite symmetric group -- Two lectures on the asymptotic representation theory and statistics of Young diagrams -- III Combinatorics and representation theory -- Characters of symmetric groups and free cumulants -- Algebraic length and Poincaré series on reflection groups with applications to representations theory -- Mixed hook-length formula for degenerate a fine Hecke algebras. 330 $aAt the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1815 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aPhysics 606 $aCombinatorics 606 $aGroup theory 606 $aFunctional analysis 606 $aPartial differential equations 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aPhysics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/P00002 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aPhysics. 615 0$aCombinatorics. 615 0$aGroup theory. 615 0$aFunctional analysis. 615 0$aPartial differential equations. 615 14$aApplications of Mathematics. 615 24$aPhysics, general. 615 24$aCombinatorics. 615 24$aGroup Theory and Generalizations. 615 24$aFunctional Analysis. 615 24$aPartial Differential Equations. 676 $a510 s 676 $a530.15/16 702 $aVershik$b Anatoly M$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146272903321 996 $aAsymptotic combinatorics with applications to mathematical physics$9145973 997 $aUNINA