Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model

Details Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model

2010-09-07

arxiv.org/abs/1009.1205v1

Mathematics

Combinatorics

7 pages

Scientific paper

A classical diffusion model of Ehrenfest which consists of $2$-urns and
$n$-balls is realized by a finite Gelfand pair $(H_{n},S_{n})$, where $H_{n}$
is the hyperoctahedral group and $S_{n}$ is the symmetric group. This fact can
be generalized to multi-urn version by using Gelfand pairs of complex
reflection groups.

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