Note on short-time behavior of semigroups associated to self-adjoint operators
- We present a simple observation showing that the heat kernel on a locally finite graph behaves for short times t roughly like t(d), where d is the combinatorial distance. This is very different from the classical Varadhan-type behavior on manifolds. Moreover, this also gives that short-time behavior and global behavior of the heat kernel are governed by two different metrics whenever the degree of the graph is not uniformly bounded.
Author details: | Matthias Keller, Daniel Lenz, Florentin MünchGND, Marcel Schmidt, Andras Telcs |
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DOI: | https://doi.org/10.1112/blms/bdw054 |
ISSN: | 0024-6093 |
ISSN: | 1469-2120 |
Title of parent work (English): | Bulletin of the London Mathematical Society |
Publisher: | Oxford Univ. Press |
Place of publishing: | Oxford |
Publication type: | Article |
Language: | English |
Year of first publication: | 2016 |
Publication year: | 2016 |
Release date: | 2020/03/22 |
Volume: | 48 |
Number of pages: | 10 |
First page: | 935 |
Last Page: | 944 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |