Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

L. Ambrosio - S. Honda - D. Tewodrose

Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces

created by ambrosio on 14 Jan 2017

[BibTeX]

Submitted Paper

Inserted: 14 jan 2017
Last Updated: 14 jan 2017

Year: 2017

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.


Download:

Credits | Cookie policy | HTML 4.0.1 strict | CSS 2.1