Velocity and Lyapounov exponents of some random walks in random environment

被引：7
|
作者：
Zerner, MPW [1 ]
机构：
[1] ETH Zurich, Dept Math, CH-8092 Zurich, Switzerland
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2000年 / 36卷 / 06期
关键词：
random walk in random environment; law of large numbers; Lyapounov exponents;
D O I：
10.1016/S0246-0203(00)00144-8
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 express the asymptotic velocity of random walks in random environment satisfying Kalikow's condition in terms of the Lyapounov exponents which have previously been used in the context of large deviations. (C) 2000 Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：737 / 748
页数：12
相关论文
共 50 条
  • [21] Survival of Branching Random Walks in Random Environment
    Gantert, Nina
    Mueller, Sebastian
    Popov, Serguei
    Vachkovskaia, Marina
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2010, 23 (04) : 1002 - 1014
  • [22] On a class of transient random walks in random environment
    Sznithman, AS
    [J]. ANNALS OF PROBABILITY, 2001, 29 (02): : 724 - 765
  • [23] TRANSIENT RANDOM WALKS ON A STRIP IN A RANDOM ENVIRONMENT
    Roitershtein, Alexander
    [J]. ANNALS OF PROBABILITY, 2008, 36 (06): : 2354 - 2387
  • [24] Multidimensional branching random walks in random environment
    Comets, Francis
    Popov, Serguei
    [J]. ANNALS OF PROBABILITY, 2007, 35 (01): : 68 - 114
  • [25] Lingering Random Walks in Random Environment on a Strip
    Erwin Bolthausen
    Ilya Goldsheid
    [J]. Communications in Mathematical Physics, 2008, 278 : 253 - 288
  • [26] PERSISTENT RANDOM-WALKS IN RANDOM ENVIRONMENT
    TOTH, B
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1986, 71 (04) : 615 - 625
  • [27] Random walks in a strongly sparse random environment
    Buraczewski, Dariusz
    Dyszewski, Piotr
    Iksanov, Alexander
    Marynych, Alexander
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (07) : 3990 - 4027
  • [28] Random walks in a moderately sparse random environment
    Buraczewski, Dariusz
    Dyszewski, Piotr
    Iksanov, Alexander
    Marynych, Alexander
    Roitershtein, Alexander
    [J]. ELECTRONIC JOURNAL OF PROBABILITY, 2019, 24 : 1 - 44
  • [29] EINSTEIN RELATION FOR RANDOM WALKS IN RANDOM ENVIRONMENT
    Guo, Xiaoqin
    [J]. ANNALS OF PROBABILITY, 2016, 44 (01): : 324 - 359
  • [30] Localization for branching random walks in random environment
    Hu, Yueyun
    Yoshida, Nobuo
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (05) : 1632 - 1651
12345