Spectral theory for transfer operators on compact quotients of Euclidean buildings
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908917846507520 |
|---|---|
| author | Hilgert, Joachim Kahl, Daniel Weich, Tobias |
| author_facet | Hilgert, Joachim Kahl, Daniel Weich, Tobias |
| contents | In this paper we generalize the geodesic flow on (finite) homogeneous graphs to a multiparameter flow on compact quotients of Euclidean buildings. Then we study the joint spectra of the associated transfer operators acting on suitable Lipschitz spaces. The main result says that outside an arbitrarily small neighborhood of zero in the set of spectral parameters the Taylor spectrum of the commuting family of transfer operators is contained in the joint point spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26949 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral theory for transfer operators on compact quotients of Euclidean buildings Hilgert, Joachim Kahl, Daniel Weich, Tobias Dynamical Systems Metric Geometry Operator Algebras Spectral Theory In this paper we generalize the geodesic flow on (finite) homogeneous graphs to a multiparameter flow on compact quotients of Euclidean buildings. Then we study the joint spectra of the associated transfer operators acting on suitable Lipschitz spaces. The main result says that outside an arbitrarily small neighborhood of zero in the set of spectral parameters the Taylor spectrum of the commuting family of transfer operators is contained in the joint point spectrum. |
| title | Spectral theory for transfer operators on compact quotients of Euclidean buildings |
| topic | Dynamical Systems Metric Geometry Operator Algebras Spectral Theory |
| url | https://arxiv.org/abs/2603.26949 |