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