Quenched invariance principle for random walks on dynamically averaging random conductances

TY - JOUR

T1 - Quenched invariance principle for random walks on dynamically averaging random conductances

AU - Bethuelsen, Stein Andreas

AU - Hirsch, Christian

AU - Mönch, Christian

PY - 2021

Y1 - 2021

N2 - We prove a quenched invariance principle for continuous-time random walks in a dynamically averaging environment on Z. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations decrease according to a typical diffusive scaling and eventually approach constant unit conductances. The proof relies on a coupling with the standard continuous time simple random walk.

AB - We prove a quenched invariance principle for continuous-time random walks in a dynamically averaging environment on Z. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations decrease according to a typical diffusive scaling and eventually approach constant unit conductances. The proof relies on a coupling with the standard continuous time simple random walk.

KW - Dynamic random environment

KW - Invariance principle

KW - Random walk

UR - https://www.scopus.com/pages/publications/85120812452

U2 - 10.1214/21-ECP440

DO - 10.1214/21-ECP440

M3 - Journal article

SN - 1083-589X

VL - 26

SP - 1

EP - 13

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

M1 - 69

ER -