Filtern
Volltext vorhanden
- nein (1) (entfernen)
Erscheinungsjahr
- 2021 (1) (entfernen)
Dokumenttyp
Sprache
- Englisch (1) (entfernen)
Gehört zur Bibliographie
- ja (1)
Schlagworte
- graphs (1) (entfernen)
Institut
A characterization of the essential spectrum of Schrodinger operators on infinite graphs is derived involving the concept of R-limits. This concept, which was introduced previously for operators on N and Z(d) as "right-limits," captures the behaviour of the operator at infinity. For graphs with sub-exponential growth rate, we show that each point in sigma(ss)(H) corresponds to a bounded generalized eigenfunction of a corresponding R-limit of H. If, additionally, the graph is of uniform sub-exponential growth, also the converse inclusion holds.