SCALING LIMITS FOR SUB-BALLISTIC BIASED RANDOM WALKS IN RANDOM CONDUCTANCES

被引：6

作者：

Fribergh, Alexander ^{[1
]}

Kious, Daniel ^{[2
]}

机构：

[1] Univ Montreal, DMS, Pavillon Andre Aisenstadt,2920, Montreal, PQ H3T 1J4, Canada

[2] New York Univ Shanghai, 1555 Century Ave, Shanghai 200122, Peoples R China

来源：

ANNALS OF PROBABILITY | 2018年 / 46卷 / 02期

关键词：

Random walks in random environments; random conductances; scaling limit; trap model; zero-speed; QUENCHED INVARIANCE-PRINCIPLES; PERCOLATION; CONVERGENCE; DIFFUSIONS; DYNAMICS; SPEED;

D O I：

10.1214/16-AOP1159

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 biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain a functional law of large numbers for the position of the walker, properly rescaled. Moreover, we state a functional central limit theorem where an atypical process, related to the fractional kinetics, appears in the limit.

引用

页码：605 / 686

页数：82

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