Random walks on weighted, oriented percolation clusters

被引：0

作者：

Miller, Katja ^{[1
]}

机构：

[1] Tech Univ Munich, Boltzmannstr 3, D-85748 Garching, Germany

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2016年 / 13卷 / 01期

关键词：

Oriented percolation; random walks in random environment; central limit theorem; mixing conditions; SURE INVARIANCE-PRINCIPLE; CENTRAL-LIMIT-THEOREM; SPACE;

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 a weighted random walk on the backbone of an oriented percolation cluster. We determine necessary conditions on the weights for Brownian scaling limits under the annealed and the quenched law. This model is a random walk in dynamic random environment (RWDRE), where the environment is mixing, non-Markovian and not elliptic. We provide a generalization of results obtained previously by Birkner et al. (2013).

引用

页码：53 / 77

页数：25

共 50 条

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