Buch, Englisch, Band 1815, 250 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 400 g
Reihe: Lecture Notes in Mathematics
A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001
Buch, Englisch, Band 1815, 250 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 400 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-40312-8
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Mathematik | Informatik Mathematik Algebra Elementare Algebra
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
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.
