Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups

Fuente: arXiv
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Autori principali: García, Ernesto, Lessa, Pablo
Natura: Preprint
Pubblicazione: 2023
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author García, Ernesto
Lessa, Pablo
author_facet García, Ernesto
Lessa, Pablo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_09714
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups
García, Ernesto
Lessa, Pablo
Geometric Topology
Probability
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.
title Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups
topic Geometric Topology
Probability
url https://arxiv.org/abs/2301.09714