Published November 15, 2002 | Version v1
Journal article

Temperley-Lieb stochastic processes

  • 1. Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC (Australia)
  • 2. Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)

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. (letter to the editor)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/35/L661/a245l5.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
45
Journal Page Range
p. L661-L668
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34023193
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGEBRA; BOUNDARY CONDITIONS; MATRICES; ONE-DIMENSIONAL CALCULATIONS; PROBABILITY; STOCHASTIC PROCESSES; SYMMETRY
Descriptors DEC
MATHEMATICS