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Temperley-Lieb stochastic processes

Pearce, Paul A; Rittenberg, Vladimir; de Gier, J; Nienhuis, B

Description

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.

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
URI: http://hdl.handle.net/1885/71979
Source: Journal of Physics A: Mathematical and General
DOI: 10.1088/0305-4470/35/45/105

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