Limit theorems for random walks under irregular conductance

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Masaaki Fukasawa¹ 

[1] Department of Mathematics, Osaka University

关键词: Arc-sine law;    empirical moment;    random conductance;    weak convergence.;   

DOI  :  10.3792/pjaa.89.87

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

For a general one-dimensional random walk with state-dependent transition probabilities, we present weak limits of the empirical moments of conductance along the path of the random walk. In particular we obtain remarkably simple quenched convergences under random conductance model.

【 授权许可】

Unknown