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 |
|---|---|
| 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 |
