Short-time behavior of the heat kernel and Weyl’s law on RCD∗(K,N) spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-01

AUTHORS

Luigi Ambrosio, Shouhei Honda, David Tewodrose

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.

PAGES

97-119

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10455-017-9569-x

DOI

http://dx.doi.org/10.1007/s10455-017-9569-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091219135


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