Asymptotic Combinatorics with Application to Mathematical Physics

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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.