Sharp ellipticity conditions for ballistic behavior of random walks in random environment

被引：5

作者：

Bouchet, Elodie ^{[1
]}

Ramirez, Alejandro F. ^{[2
]}

Sabot, Christophe ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, CNRS UMR 5208, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

[2] Pontificia Univ Catolica Chile, Fac Matemat, Vicuna Mackenna 4860, Santiago, Chile

来源：

BERNOULLI | 2016年 / 22卷 / 02期

关键词：

Dirichlet distribution; max-flow min-cut theorem; random walk in random environment; reinforced random walks; DIRICHLET ENVIRONMENT; RWRE;

D O I：

10.3150/14-BEJ683

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 sharpen ellipticity criteria for random walks in i.i.d. random environments introduced by Campos and Ramirez which ensure ballistic behavior. Furthermore, we construct new examples of random environments for which the walk satisfies the polynomial ballisticity criteria of Berger, Drewitz and Ramirez. As a corollary, we can exhibit a new range of values for the parameters of Dirichlet random environments in dimension d = 2 under which the corresponding random walk is ballistic.

引用

页码：969 / 994

页数：26

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