2000 character limit reached
Stability of heat kernel bounds under pointed Gromov-Hausdorff convergence (2411.19047v2)
Published 28 Nov 2024 in math.MG and math.FA
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.