Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence
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🧮 math.MG
math.FA
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convergencegromov--hausdorffheatkernelpointedstabilityunderalong
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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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