Temperley-Lieb Stochastic Processes

Details Temperley-Lieb Stochastic Processes Temperley-Lieb Stochastic Processes

2002-09-10

arxiv.org/abs/math-ph/0209017v2

J.Phys. A35 (2002) L661-L668

Physics

Mathematical Physics

9 pages LaTeX, 11 Postscript figures, minor changes

Scientific paper

10.1088/0305-4470/35/45/105

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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