Asymptotic Combinatorics with Application to Mathematical Physics

Häftad, Engelska, 2002

AvV.A. Malyshev,A.M. Vershik,V. a. Malyshev,A. M. Vershik,V. A. Malyshev

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Results obtained during the end of the 20th century from an intensive study of asymptotic combinatorics have led to a 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.

Produktinformation

Utgivningsdatum2002-08-31
Mått160 x 240 x 19 mm
Vikt551 g
FormatHäftad
SpråkEngelska
SerieNATO Science Series II: Mathematics, Physics and Chemistry
Antal sidor327
FörlagKluwer Academic Publishers
ISBN9781402007934

Tillhör följande kategorier

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.