Temperley-Lieb stochastic processes

被引：49

作者：

Pearce, PA ^{[1
]}

Rittenberg, V

de Gier, J

Nienhuis, B

机构：

[1] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3010, Australia

[2] Australian Natl Univ, Sch Math Sci, Canberra, ACT 0200, Australia

[3] Univ Amsterdam, NL-1018 XE Amsterdam, Netherlands

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 45期

关键词：

D O I：

10.1088/0305-4470/35/45/105

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：L661 / L668

页数：8

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