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Stability of heat kernel bounds under pointed Gromov-Hausdorff convergence

Published 28 Nov 2024 in math.MG and math.FA | (2411.19047v2)

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.

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