Strong law of large numbers for random walks in weakly dependent random scenery
Probability
2025-02-11 v1
Abstract
In this brief note, we study the strong law of large numbers for random walks in random scenery. Under the assumptions that the random scenery is non-stationary and satisfies weakly dependent condition with an appropriate rate, we establish strong law of large numbers for random walks in random scenery. Our results extend the known results in the literature.
Keywords
Cite
@article{arxiv.2502.05653,
title = {Strong law of large numbers for random walks in weakly dependent random scenery},
author = {Sadillo Sharipov},
journal= {arXiv preprint arXiv:2502.05653},
year = {2025}
}
Comments
9 pages