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arXiv · 2411.19047

Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence

Aobo Chen
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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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Aobo Chen. 2026-04-20. Stability of heat kernel bounds under pointed Gromov--Hausdorff convergence. https://doi.org/10.1016/j.jfa.2026.111488

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