Temperley Lieb stochastic processes
Copyright policy )Temperley Lieb stochastic processes
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.
9 pages LaTeX, 11 Postscript figures, minor changes
- University of Melbourne Australia
- Australian National University Australia
- University of Amsterdam Netherlands
- Department of Mathematics and Statistics University of Melbourne Australia
- UNIVERSITEIT VAN AMSTERDAM Netherlands
82C05 (Primary), 05A15, 82C05, 81T40 (Secondary), Statistical Mechanics (cond-mat.stat-mech), Lattices and Combinatorics, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Dynamical Systems, Mathematical Sciences, Theoretical Physics, Stochastic methods applied to problems in equilibrium statistical mechanics, Set Theory, Physical Sciences, FOS: Mathematics, Mathematical Logic, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Dynamical Systems, Exactly solvable models; Bethe ansatz, Mathematical Physics, Condensed Matter - Statistical Mechanics
82C05 (Primary), 05A15, 82C05, 81T40 (Secondary), Statistical Mechanics (cond-mat.stat-mech), Lattices and Combinatorics, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Dynamical Systems, Mathematical Sciences, Theoretical Physics, Stochastic methods applied to problems in equilibrium statistical mechanics, Set Theory, Physical Sciences, FOS: Mathematics, Mathematical Logic, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Dynamical Systems, Exactly solvable models; Bethe ansatz, Mathematical Physics, Condensed Matter - Statistical Mechanics
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