Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model

2010/09/07 by Hiroshi Mizukawa, Mizukawa, Hiroshi · 2 citations
Mathematics · Physics and Astronomy · #05E10 #20C30 #20P05 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.CO #math.PR #msc:05E10 #msc:20C30 #msc:20P05

paper · pdf · doi:10.48550/arxiv.1009.1205

7 pages

arxiv created 2010/09/07 · openalex publication_date 2010/09/07 · arxiv updated 2010/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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