Quenched Invariance Principle for the Random Walk on the Penrose Tiling

被引：0

作者：

Bartha, Zs. ^{[1
]}

Telcs, A. ^{[1
,2
]}

机构：

[1] Budapest Univ Technol & Econ, H-1117 Budapest, Hungary

[2] Univ Pannonia, Fac Econ, Dept Quantitat Methods, H-8200 Veszprem, Hungary

来源：

MARKOV PROCESSES AND RELATED FIELDS | 2014年 / 20卷 / 04期

基金：

匈牙利科学研究基金会;

关键词：

random walk; random media; Penrose tiling; quenched invariance principle; corrector method;

D O I：

暂无

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：

We consider the simple random walk on the graph corresponding to a Penrose tiling. We prove that the path distribution of the walk converges weakly to that of a non-degenerate Brownian motion for almost every Penrose tiling with respect to the appropriate invariant measure on the set of tilings. Our tool for this is the corrector method.

引用

页码：751 / 767

页数：17

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