EXACT CLOSED-FORM OF THE RETURN PROBABILITY ON THE BETHE LATTICE

被引：14

作者：

GIACOMETTI, A

机构：

[1] Inst. fur Festkorperforschung der Kernforschungsanlange, Julich

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 01期

关键词：

D O I：

10.1088/0305-4470/28/1/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An exact closed-form solution for the return probability of a random walk on the Bethe lattice is given. The long-time asymptotic form confirms a previously known expression. It is, however, shown that this exact result reduces to the proper expression when the Bethe lattice degenerates on a line, unlike the asymptotic result which is singular. This is shown to be an artefact of the asymptotic expansion. The density of states is also calculated.

引用

页码：L13 / L17

页数：5

共 9 条

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