An interacting particle process related to Young tableaux

2013/03/12 by Alexei Borodin, Borodin, Alexei, Grigori Olshanski +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Representation Theory (math.RT) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #math.PR #math.RT

paper · pdf · doi:10.48550/arxiv.1303.2795

10 pp

arxiv created 2013/03/12 · openalex publication_date 2013/03/12 · arxiv updated 2013/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a stochastic particle system consisting of a two-dimensional array of particles living in one space dimension. The stochastic evolution bears a certain similarity to Hammersley's process, and the particle interaction is governed by combinatorics of the Young tableaux.

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