Local trapping for elliptic random walks in random environments in Zd

被引：4
作者：
Fribergh, Alexander [1 ]
Kious, Daniel [2 ]
机构：
[1] Univ Montreal, DMS, Pavillon Andre Aisenstadt,2920 Chemin Tour, Montreal, PQ H3T 1J4, Canada
[2] Ecole Polytech Fed Lausanne, EPFL SB MATHAA PRST, MA B1 537,Stn 8, CH-1015 Lausanne, Switzerland
来源：
PROBABILITY THEORY AND RELATED FIELDS | 2016年 / 165卷 / 3-4期
关键词：
Random walk in random environments; Ballisticity; Ellipticity; TRANSIENT RANDOM-WALKS; DIRICHLET ENVIRONMENT; LARGE NUMBERS; LAW;
D O I：
10.1007/s00440-015-0646-4
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 elliptic random walks in i.i.d. random environments on . The main goal of this paper is to study under which ellipticity conditions local trapping occurs. Our main result is to exhibit an ellipticity criterion for ballistic behavior which extends previously known results. We also show that if the annealed expected exit time of a unit hypercube is infinite then the walk has zero asymptotic velocity.
引用
收藏
页码：795 / 834
页数：40
相关论文
共 23 条
[1]  
[Anonymous], 2004, ICTP LECT NOTES
[2]  
Berger N., 2013, COMMUN PURE IN PRESS
[3]  
Berger N, 2008, PROG PROBAB, V60, P137
[4]  
Bouchet E., 2013, ARXIV13106281
[5]  
Bouchet E., 2014, ARXIV14095528
[6]   Sub-ballistic random walk in Dirichlet environment [J].
Bouchet, Elodie .
ELECTRONIC JOURNAL OF PROBABILITY, 2013, 18 :1-25
[7]  
Campos D., 2013, PROBAB THEO IN PRESS
[8]   Ballisticity conditions for random walk in random environment [J].
Drewitz, A. ;
Ramirez, A. F. .
PROBABILITY THEORY AND RELATED FIELDS, 2011, 150 (1-2) :61-75
[9]   QUENCHED EXIT ESTIMATES AND BALLISTICITY CONDITIONS FOR HIGHER-DIMENSIONAL RANDOM WALK IN RANDOM ENVIRONMENT [J].
Drewitz, Alexander ;
Ramirez, Alejandro F. .
ANNALS OF PROBABILITY, 2012, 40 (02) :459-534
[10]   LIMIT LAWS FOR TRANSIENT RANDOM WALKS IN RANDOM ENVIRONMENT ON Z [J].
Enriquez, Nathanael ;
Sabot, Christophe ;
Zindy, Olivier .
ANNALES DE L INSTITUT FOURIER, 2009, 59 (06) :2469-2508
123