Asymptotic Combinatorics with Application to Mathematical Physics

By A. M. Vershik, V. A. Malyshev

Subjects: Physics, Mathematical physics, Topological Groups, Combinatorics, Functional analysis, Asymptotic expansions, Combinatorial analysis, Quantum theory

Description: 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.