冰模型图上简单随机游走的过渡

Pub Date : 2024-07-04 DOI:10.1007/s10959-024-01357-x

Xavier Bressaud, Serge Cohen

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摘要

6 顶点模型在多个数学和物理领域都具有重要意义。6 顶点模型的配置与多图中的路径相对应。本文的重点是计算这些多图上简单随机行走的过渡概率。研究结果的一个有趣之处是在计算过渡概率时使用了续分数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Transition of the Simple Random Walk on the Ice Model Graph

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.

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