Published Paper
Inserted: 3 may 2023
Last Updated: 13 nov 2025
Journal: Annals of Global Analysis and Geometry
Volume: 53
Number: 1
Pages: 97-119
Year: 2019
Abstract:
In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of $RCD^*(K,N)$-spaces. We obtain as a corollary results on the short-time behavior of the heat kernel in $RCD^*(K,N)$-spaces. We use then these results to initiate the study of Weyl's law in the $RCD$ setting