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Regular version of the site

Article

Комбинаторные решения интегрируемых иерархий

Успехи математических наук. 2015. Т. 70. № 3. С. 70-106.

This paper reviews modern approaches to the construction of formal solutions to integrable hierarchies of mathematical physics whose coefficients are answers to various enumerative problems. The relationship between these approaches and the combinatorics of symmetric groups and their representations is explained. Applications of the results to the construction of efficient computations in problems related to models of quantum field theories are described.