Random walk in changing environment

被引：0

作者：

Amir, Gideon ^{[1
]}

Benjamini, Itai ^{[2
]}

Gurel-Gurevich, Ori ^{[3
]}

Kozma, Gady ^{[2
]}

机构：

[1] Bar Ilan Univ, IL-5290002 Ramat Gan, Israel

[2] Weizmann Inst Sci, IL-76100 Rehovot, Israel

[3] Hebrew Univ Jerusalem, IL-91904 Jerusalem, Israel

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2020年 / 130卷 / 12期

基金：

以色列科学基金会;

关键词：

Trees; (mathematics);

D O I：

10.1016/j.spa.2020.08.003

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 introduce the notion of Random Walk in Changing Environment (RWCE) - a random walk on a weighted graph in which the weights may change between steps. RWCE's generalize many known RW (e.g. reinforced RW, true SAW). We explore possible properties of RWCE's, and provide criteria for recurrence and transience when the underlying graph is N or a tree. We construct a RWCE on Z(2) where conductances can only change from 1 to 2 (once) but nevertheless the walk is transient, and conjecture that such behavior cannot happen when the changes do not depend on the location of the RWCE. (C) 2020 Elsevier B.V. All rights reserved.

引用

页码：7463 / 7482

页数：20

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