Homogenization theory of random walks in degenerate random environment
Probability
2025-04-10 v1
Abstract
Recent progress on the understanding of the Random Conductance Model is reviewed. A particular emphasis is on homogenization results such as functional central limit theorems, local limit theorems and heat kernel estimates for almost every realization of the environment, established for random walks among stationary ergodic conductances that are possibly unbounded but satisfy certain moment conditions.
Keywords
Cite
@article{arxiv.2504.06690,
title = {Homogenization theory of random walks in degenerate random environment},
author = {Sebastian Andres},
journal= {arXiv preprint arXiv:2504.06690},
year = {2025}
}
Comments
35 pages; 2 figures