Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
arXiv:2411.19047 · doi:10.1016/j.jfa.2026.111488
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.
54 pages, 2 figures