Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
Metric Geometry
2026-04-21 v3 Functional Analysis
Abstract
We construct a conservative and strongly local regular symmetric Dirichlet form on the pointed Gromov--Hausdorff limit space and demonstrate the stability of heat kernel estimates under this convergence. Furthermore, we establish the Mosco convergence of the associated energy forms along a subsequence.
Keywords
Cite
@article{arxiv.2411.19047,
title = {Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence},
author = {Aobo Chen},
journal= {arXiv preprint arXiv:2411.19047},
year = {2026}
}
Comments
54 pages, 2 figures