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Asymptotic Combinatorics with Application to Mathematical Physics -

Asymptotic Combinatorics with Application to Mathematical Physics

V.A. Malyshev, A.M. Vershik (Herausgeber)

Buch | Softcover
327 Seiten
2002 | Softcover reprint of the original 1st ed. 2002
Springer-Verlag New York Inc.
978-1-4020-0793-4 (ISBN)
CHF 149,75 inkl. MwSt
Proceedings of the NATO Advanced Study Institute, held in St.Petersburg, Russia, 9-22 July 2001
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.

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.

Erscheint lt. Verlag 31.8.2002
Reihe/Serie NATO Science Series II: Mathematics, Physics and Chemistry ; 77
Zusatzinfo XV, 327 p.
Verlagsort New York, NY
Sprache englisch
Maße 160 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 1-4020-0793-0 / 1402007930
ISBN-13 978-1-4020-0793-4 / 9781402007934
Zustand Neuware
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