Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment

被引：6
作者：
Andres, Sebastian [1 ]
Halberstam, Noah [2 ,3 ]
机构：
[1] Univ Manchester, Manchester, Lancs, England
[2] Univ Cambridge, Cambridge, England
[3] Ctr Math Sci, Wilberforce Rd, Cambridge CB3 0WB, England
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2021年 / 139卷
关键词：
Random conductance model; Heat kernel; Ergodic; PARABOLIC HARNACK INEQUALITY; INVARIANCE-PRINCIPLE; RANDOM-VARIABLES; RANDOM-WALKS; HOMOGENIZATION; ASSOCIATION; PERCOLATION; THEOREM; DECAY;
D O I：
10.1016/j.spa.2021.05.003
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 study the random conductance model on Z(d) with ergodic, unbounded conductances. We prove a Gaussian lower bound on the heat kernel given a polynomial moment condition and some additional assumptions on the correlations of the conductances. The proof is based on the well-established chaining technique. We also obtain bounds on the Green's function. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：212 / 228
页数：17
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