

Principle Seminar of the Department of Probability Theory, Moscow State University
October 6, 2010 16:45, Moscow, MSU, auditorium 1624






Stochastic particle dynamics on a lattice with Pfaffian correlations
L. A. Petrov^{} 
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Abstract:
In the first part of the talk I describe some known dynamical particle
models (on a lattice and on a line),
in particular, "nonintersecting paths" processes introduced by Karlin
and McGregor in late 1950's.
An important property of such models is that their certain npoint
averages (namely, the spacetime correlation
functions) have the form of n x n determinants. In particular, this
property provides a rather simple approach
to studying various limit regimes of such stochastic processes.
In the second part I introduce a new interesting example of a
stochastic particle
dynamics on a lattice whose npoint spacetime correlation functions
have the form of 2n x 2n Pfaffians. This dynamics admits an unexpected
description in terms of
KarlinMcGregor's processes.

