Department of Mathematics

Random walks on partitions and their limits

(IITP, Moscow)

15 May 2007

I will describe a model of random walks on partitions based on Kerov's idea of anisotropic Young diagrams. This model make it possible to unify constructions originated in such distant areas as mathematical population genetics and representation theory of the infinite symmetric group. In a limit regime our random walks converge to interesting infinite-dimensional diffusion processes.

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Yuri Yakubovich