Alternative proof for the localization of Sinai's walk

被引：5

作者：

Andreoletti, P

机构：

[1] Univ Aix Marseille 2, Fac Sci Luminy, F-13288 Marseille, France

[2] Ctr Phys Theor, CNRS, UMR 6207, F-13288 Marseille, France

[3] Univ Chile, Ctr Modelamiento Matemat, CNRS, UMR 2071, Santiago, Chile

来源：

JOURNAL OF STATISTICAL PHYSICS | 2005年 / 118卷 / 5-6期

关键词：

random environment; random walk; Sinai's regime; Markov chain;

D O I：

10.1007/s10955-004-2122-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give an alternative proof of the localization of Sinai's random walk in random environment under weaker hypothesis than the ones used by Sinai. Moreover, we give estimates that are stronger than the one of Sinai on the localization neighborhood and on the probability for the random walk to stay inside this neighborhood.

引用

页码：883 / 933

页数：51

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