Brownian motion on graph-like spaces
Volume 261 / 2021
Studia Mathematica 261 (2021), 121-155
MSC: Primary 60J60.
DOI: 10.4064/sm190404-9-2
Published online: 20 July 2021
Abstract
We construct a natural diffusion on a wide class of metric spaces generalising graphs, and show that its cover time admits an upper bound depending only on the Hausdorff measure of the space.