Asymptotic Combinatorics with Applications to Mathematical Physics A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Vershik, Anatoly M. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1815
• Θέματα: Applied mathematics.; Engineering mathematics.; Physics.; Combinatorics.; Group theory.; Functional analysis.; Partial differential equations.; Applications of Mathematics.; Physics, general.; Group Theory and Generalizations.; Functional Analysis.; Partial Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.