Criticality theory for Schrödinger operators on graphs
- We study Schrodinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrodinger operators on general weighted graphs.
Author details: | Matthias KellerORCiDGND, Yehuda PinchoverORCiDGND, Felix PogorzelskiORCiDGND |
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DOI: | https://doi.org/10.4171/JST/286 |
ISSN: | 1664-039X |
ISSN: | 1664-0403 |
Title of parent work (English): | Journal of spectral theory |
Publisher: | European Mathematical Society |
Place of publishing: | Zürich |
Publication type: | Article |
Language: | English |
Date of first publication: | 2019/09/17 |
Publication year: | 2019 |
Release date: | 2023/07/07 |
Tag: | discrete Schrodinger; green function; ground state; operators; positive solutions; weighted graphs |
Volume: | 10 |
Issue: | 1 |
Number of pages: | 42 |
First page: | 73 |
Last Page: | 114 |
Funding institution: | German Science FoundationGerman Research Foundation (DFG); Israel; Science FoundationIsrael Science Foundation [970/15]; Technion Fine; Fellowship |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |
Publishing method: | Open Access / Green Open-Access |