Journal article

Temperley-Lieb stochastic processes

PA Pearce, V Rittenberg, J de Gier, B Nienhuis

Journal of Physics A: Mathematical and Theoretical | IOP PUBLISHING LTD | Published : 2002

Abstract

We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.