Invariance principle for the random conductance model with dynamic bounded conductances

被引：20

作者：

Andres, Sebastian ^{[1
]}

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2014年 / 50卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Random conductance model; Dynamic environment; Invariance principle; Ergodic; Corrector; Point of view of the particle; Stochastic interface model; PHI INTERFACE MODEL; TIME RANDOM ENVIRONMENT; RANDOM-WALK; PERCOLATION CLUSTERS; LIMIT-THEOREM; FUNCTIONALS;

D O I：

10.1214/12-AIHP527

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 dynamic random conductances in Z(d). We assume that the conductances are stationary ergodic, uniformly bounded and bounded away from zero and polynomially mixing in space and time. We prove a quenched invariance principle for X, and obtain Green's functions bounds and a local limit theorem. We also discuss a connection to stochastic interface models.

引用

页码：352 / 374

页数：23

共 50 条

[21] Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights
Deuschel, Jean-Dominique
Tuan Anh Nguyen
Slowik, Martin
PROBABILITY THEORY AND RELATED FIELDS, 2018, 170 (1-2) : 363 - 386
[22] An invariance principle for branching diffusions in bounded domains
Powell, Ellen
PROBABILITY THEORY AND RELATED FIELDS, 2019, 173 (3-4) : 999 - 1062
[23] An invariance principle for branching diffusions in bounded domains
Ellen Powell
Probability Theory and Related Fields, 2019, 173 : 999 - 1062
[24] Berry-Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances
Andres, Sebastian
Neukamm, Stefan
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2019, 7 (02): : 240 - 296
[25] Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment
Joseph, Mathew
Rassoul-Agha, Firas
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2011, 8 : 43 - 57
[26] Lyapunov function for power systems with transfer conductances: Extension of the invariance principle
Bretas, NG
Alberto, LFC
2003 IEEE POWER ENGINEERING SOCIETY GENERAL MEETING, VOLS 1-4, CONFERENCE PROCEEDINGS, 2003, : 1815 - 1815
[27] A Nonconventional Invariance Principle for Random Fields
Yuri Kifer
Journal of Theoretical Probability, 2013, 26 : 489 - 513
[28] INVARIANCE PRINCIPLE FOR HOMOGENEOUS RANDOM FIELDS
LEONENKO, MM
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1975, (06): : 497 - 499
[29] The invariance principle for associated random fields
Kim, TS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1996, 26 (04) : 1443 - 1454
[30] A Nonconventional Invariance Principle for Random Fields
Kifer, Yuri
JOURNAL OF THEORETICAL PROBABILITY, 2013, 26 (02) : 489 - 513

← 1 2 3 4 5 →