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

Luigi Ambrosio, Shouhei Honda, David Tewodrose

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)97-119
Number of pages23
JournalAnnals of Global Analysis and Geometry
Volume53
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1

Keywords

  • RCD spaces
  • Spectral analysis
  • Weyl’s law

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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