Temperley-Lieb Stochastic Processes
Mathematical Physics
2009-11-07 v2 Statistical Mechanics
Combinatorics
Dynamical Systems
math.MP
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.
Cite
@article{arxiv.math-ph/0209017,
title = {Temperley-Lieb Stochastic Processes},
author = {Paul A. Pearce and Vladimir Rittenberg and Jan de Gier and Bernard Nienhuis},
journal= {arXiv preprint arXiv:math-ph/0209017},
year = {2009}
}
Comments
9 pages LaTeX, 11 Postscript figures, minor changes