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Asymptotic Combinatorics with Application to Mathematical Physics [electronic resource] / edited by Vadim Malyshev, Anatoly Vershik

Author:
Malyshev, Vadim
Additional Titles:
Proceedings of the NATO Advanced Study Institute, held in St.Petersburg, Russia, 9-22 July 2001
Published:
Dordrecht : Springer Netherlands : Imprint: Springer, 2002.
Physical Description:
XV, 327 pages : online resource
Additional Creators:
Vershik, Anatoly and SpringerLink (Online service)
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Series:
Contents:
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.
Summary:
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.
Subject(s):
ISBN:
9789401005753
Digital File Characteristics:
text file PDF
Note:
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Part Of:
Springer eBooks
View MARC record | catkey: 11947515