Dimension conservation of harmonic measures in products of hyperbolic spaces
Dynamical Systems
2025-07-04 v2 Probability
Abstract
We show that the harmonic measure on a product of boundaries satisfies dimension conservation for a random walk with non-elementary marginals on a countable group acting on a product of hyperbolic spaces under the finite first moment condition.
Keywords
Cite
@article{arxiv.2403.01661,
title = {Dimension conservation of harmonic measures in products of hyperbolic spaces},
author = {Ryokichi Tanaka},
journal= {arXiv preprint arXiv:2403.01661},
year = {2025}
}