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Temperley-Lieb stochastic processes

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Date

2002

Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Physics Publishing

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.

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Citation

URI

http://hdl.handle.net/1885/71979

Collections

ANU Research Publications

Source

Journal of Physics A: Mathematical and General

Type

Journal article

Book Title

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DOI

10.1088/0305-4470/35/45/105

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