INVARIANCE PRINCIPLE FOR THE RANDOM CONDUCTANCE MODEL WITH UNBOUNDED CONDUCTANCES

被引：76

作者：

Barlow, M. T. ^{[1
]}

Deuschel, J-D. ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Tech Univ Berlin, Fachbereich Math, D-10623 Berlin, Germany

来源：

ANNALS OF PROBABILITY | 2010年 / 38卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 英国工程与自然科学研究理事会;

关键词：

Random conductance model; heat kernel; invariance principle; ergodic; corrector; PARABOLIC HARNACK INEQUALITY; BOUNDED RANDOM CONDUCTANCES; REVERSIBLE MARKOV-PROCESSES; PERCOLATION CLUSTERS; RANDOM-WALKS; LIMIT-THEOREM; HEAT KERNELS; TRAP MODELS; GRAPHS; ENVIRONMENTS;

D O I：

10.1214/09-AOP481

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 study a continuous time random walk X in an environment of i.i.d. random conductances mu(e) is an element of [1, infinity). We obtain heat kernel bounds and prove a quenched invariance principle for X. This holds even when E mu(e) = infinity.

引用

页码：234 / 276

页数：43