Simple asymmetric exclusion model and lattice paths: bijections and involutions

被引：3

作者：

Brak, R. ^{[1
]}

Essam, J. W. ^{[2
]}

机构：

[1] Univ Melbourne, Dept Math, Parkville, Vic 3052, Australia

[2] Univ London, Royal Holloway Coll, Dept Math, Egham TW20 0EX, Surrey, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 49期

关键词：

STATES;

D O I：

10.1088/1751-8113/45/49/494007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the combinatorics of the change of basis of three representations of the stationary state algebra of the two parameter simple asymmetric exclusion process. Each of the representations considered correspond to a different set of weighted lattice paths which, when summed over, give the stationary state probability distribution. We show that all three sets of paths are combinatorially related via sequences of bijections and sign reversing involutions.

引用

页数：22

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