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_aAsymptotic Combinatorics with Applications to Mathematical Physics _h[electronic resource] : _bA European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia July 9–20, 2001 / _cedited by Anatoly M. Vershik, Yuri Yakubovich. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2003. |
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300 |
_aX, 250 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1815 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aPhysics. | |
650 | 0 | _aCombinatorics. | |
650 | 0 | _aGroup theory. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aApplications of Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M13003 |
650 | 2 | 4 |
_aPhysics, general. _0http://scigraph.springernature.com/things/product-market-codes/P00002 |
650 | 2 | 4 |
_aCombinatorics. _0http://scigraph.springernature.com/things/product-market-codes/M29010 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
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_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
700 | 1 |
_aVershik, Anatoly M. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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700 | 1 |
_aYakubovich, Yuri. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
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_iPrinted edition: _z9783540403128 |
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_iPrinted edition: _z9783662204078 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1815 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-44890-X |
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