Einstein relation for biased random walk on Galton-Watson trees

被引：21

作者：

Ben Arous, Gerard ^{[1
]}

Hu, Yueyun ^{[2
]}

Olla, Stefano ^{[3
,4
]}

Zeitouni, Ofer ^{[5
,6
]}

机构：

[1] NYU, Courant Inst, New York, NY 10012 USA

[2] Univ Paris 13, LAGA, Dept Math, F-93430 Villetaneuse, France

[3] CEREMADE, F-75775 Paris 16, France

[4] Ecole Ponts, INRIA, Projet MICMAC, F-77455 Marne La Vallee 2, France

[5] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[6] Weizmann Inst Sci, Fac Math, IL-76100 Rehovot, Israel

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2013年 / 49卷 / 03期

基金：

以色列科学基金会; 美国国家科学基金会;

关键词：

Galton-Watson tree; Einstein relation; Spine representation; PARTICLE;

D O I：

10.1214/12-AIHP486

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 prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton-Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrarily slow traps.

引用

收藏

页码：698 / 721

页数：24

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