Random walks on discrete point processes

被引：3

作者：

Berger, Noam ^{[1
,2
]}

Rosenthal, Ron ^{[3
]}

机构：

[1] Hebrew Univ Jerusalem, IL-91904 Jerusalem, Israel

[2] Tech Univ Munich, Einstein Inst Math, IL-91904 Jerusalem, Israel

[3] ETH, CH-8092 Zurich, Switzerland

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2015年 / 51卷 / 02期

基金：

欧洲研究理事会;

关键词：

Discrete point processes; Random walk in random environment; QUENCHED INVARIANCE-PRINCIPLES; PERCOLATION; TRANSIENCE; RECURRENCE;

D O I：

10.1214/13-AIHP593

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 model for random walks on random environments (RWRE) with a random subset of Z(d) as the vertices, and uniform transition probabilities on 2d points (the closest in each of the coordinate directions). We prove that the velocity of such random walks is almost surely zero, give partial characterization of transience and recurrence in the different dimensions and prove a Central Limit Theorem (CLT) for such random walks, under a condition on the distance between coordinate nearest neighbors.

引用

页码：727 / 755

页数：29

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