Transition of the Simple Random Walk on the Ice Model Graph

被引：0

作者：

Bressaud, Xavier ^{[1
]}

Cohen, Serge ^{[1
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, UMR 5219, CNRS,UT3, F-31062 Toulouse 9, France

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2024年 / 37卷 / 04期

关键词：

Random walk; Markov chain; Square ice model; 6-vertex model; Height functions; Thermodynamic limit; Continued Fractions;

D O I：

10.1007/s10959-024-01357-x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The 6-vertex model holds significance in various mathematical and physical domains. The configurations of the 6-vertex model correspond to the paths in multigraphs. This article focuses on calculating the transition probability for the simple random walk on these multigraphs. An intriguing aspect of the findings is the utilization of continued fractions in the computation of the transition probability.

引用

页码：3455 / 3478

页数：24

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