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140122 ||| eng |
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|a 9783540448907
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| 100 |
1 |
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|a Vershik, Anatoly M.
|e [editor]
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|a Asymptotic Combinatorics with Applications to Mathematical Physics
|h Elektronische Ressource
|b A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001
|c edited by Anatoly M. Vershik
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| 250 |
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|a 1st ed. 2003
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2003, 2003
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| 300 |
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|a X, 250 p
|b online resource
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|a Random 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
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| 653 |
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|a Applied mathematics
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| 653 |
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|a Functional analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Physics, general
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Group theory
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| 653 |
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|a Combinatorics
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Partial Differential Equations
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| 653 |
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|a Physics
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| 653 |
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|a Group Theory and Generalizations
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| 653 |
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|a Partial differential equations
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| 653 |
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|a Combinatorics
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Lecture Notes in Mathematics
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| 856 |
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|u https://doi.org/10.1007/3-540-44890-X?nosfx=y
|x Verlag
|3 Volltext
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|a 519
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|a At 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
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