The type-problem on the average for random walks on graphs

被引：16

作者：

Burioni, R ^{[1
]}

Cassi, D ^{[1
]}

Vezzani, A ^{[1
]}

机构：

[1] Univ Parma, Dipartimento Fis, INFM, I-43100 Parma, Italy

来源：

EUROPEAN PHYSICAL JOURNAL B | 2000年 / 15卷 / 04期

关键词：

D O I：

10.1007/s100510051170

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

When averages over all starting points are considered, the type problem for the recurrence or transience of a simple random walk on an inhomogeneous network in general differs from the usual "local" type problem. This difference leads to a new classification of inhomogeneous discrete structures in terms of recurrence and transience oa the average, describing their large scale topology from a ''statistical" point of view. In this paper we analyze this classification and the properties connected to it, showing how the average behavior affects the thermodynamic properties of statistical models on graphs.

引用

页码：665 / 672

页数：8

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