Malyshev / Vershik Asymptotic Combinatorics with Application to Mathematical Physics

Erscheinungsjahr 2012
ISBN: 978-94-010-0575-3
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 77, 327 Seiten, eBook

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.

Zielgruppe

Research

Autoren/Hrsg.

Malyshev, V.A.

Vershik, A.M.

Inhaltsverzeichnis

One / Matrix Models and Graph Enumeration.- Matrix Quantum Mechanics.- to matrix models.- A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures.- Combinatorics and Probability of Maps.- The Combinatorics of Alternating Tangles: from theory to computerized enumeration.- Invariance Principles for Non-uniform Random Mappings and Trees.- Two / Integrable Models (of Statistical Physics and Quantum Field Theory).- Renormalization group solution of fermionic Dyson model.- Statistical Mechanics and Number Theory.- Quantization of Thermodynamics and the Bardeen-Cooper-Schriffer-Bogolyubov Equation.- Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D.- Three / Representation Theory.- Notes on homogeneous vector bundles over complex flag manifolds.- Representations Theory and Doubles of Yangians of Classical Lie Superalgebras.- Idempotent (asymptotic) Mathematics and the Representation theory.- A new approach to Berezin kernels and canonical representations.- Theta Hypergeometric Series.