The Brownian Motion on Harmonic Manifolds of Purely Exponential Volume Growth
arXiv:2311.02977
Abstract
We show that Sullivan's method of constructing eigenfunctions of the Laplacian \cite{Sullivan1987RelatedAO} is applicable to non-compact simply connected harmonic manifolds of purely exponential volume growth. Thereby we extend the case of pinched negative curvature to non-symmetric Damek-Ricci spaces.
26 pages, comments welcome