Asymptotic Combinatorics with Application to Mathematical Physics

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V.A. Malyshev, A.M. Vershik
Springer Science & Business Media, Aug 31, 2002 - Science - 327 pages
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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.
 

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Contents

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XVII
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Page 265 - Mathematins can be treated as a result of a dequantization of the traditional Mathematics as the Planck constant tends to zero taking pure imaginary values. In the framework of Idempotent Mathematics some basic concepts and results of the theory of group representations (including some unexpected theorems of the Engel type) are discussed.

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