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 language | English |
|---|---|
| Pages (from-to) | 97-119 |
| Number of pages | 23 |
| Journal | Annals of Global Analysis and Geometry |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2018 Jan 1 |
Keywords
- RCD spaces
- Spectral analysis
- Weyl’s law
ASJC Scopus subject areas
- Analysis
- Political Science and International Relations
- Geometry and Topology
Fingerprint Dive into the research topics of 'Short-time behavior of the heat kernel and Weyl’s law on RCD <sup>∗</sup>(K, N) spaces'. Together they form a unique fingerprint.
Cite this
Ambrosio, L., Honda, S., & Tewodrose, D. (2018). Short-time behavior of the heat kernel and Weyl’s law on RCD ∗(K, N) spaces. Annals of Global Analysis and Geometry, 53(1), 97-119. https://doi.org/10.1007/s10455-017-9569-x