A. Borodin, G. Olshanski, “An interacting particle process related to Young tableaux”, Zap. Nauchn. Sem. POMI, 2014, Volume 421,Pages <nobr>47

An interacting particle process related to Young tableaux

A. Borodin^ab, G. Olshanski^cad

^a Institute for Information Transmission Problems, Bolshoy Karetny per. 19, 127994 Moscow, Russia
^b Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, USA
^c Independent University of Moscow, Russia
^d National Research University Higher School of Economics, Moscow, Russia

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 the combinatorics of Young tableaux.

Key words and phrases: Young tableaux, piecewise deterministic Markov processes.

UDC: 519.218

Received: 27.11.2013

Language: English