Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups
Geometric Topology
2025-07-25 v3 Probability
Abstract
We prove that the harmonic measures of certain finite range random walks on Fuchsian Schottky groups, have dimension strictly smaller than the Hausdorff dimension of the corresponding limit set.
Keywords
Cite
@article{arxiv.2301.09714,
title = {Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups},
author = {Ernesto García and Pablo Lessa},
journal= {arXiv preprint arXiv:2301.09714},
year = {2025}
}