---
_id: '65255'
abstract:
- lang: eng
  text: 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.
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Daniel
  full_name: Kahl, Daniel
  id: '55661'
  last_name: Kahl
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Hilgert J, Kahl D, Weich T. Spectral theory for transfer operators on compact
    quotients of Euclidean buildings. <i>arXiv:260326949</i>. Published online 2026.
  apa: Hilgert, J., Kahl, D., &#38; Weich, T. (2026). Spectral theory for transfer
    operators on compact quotients of Euclidean buildings. In <i>arXiv:2603.26949</i>.
  bibtex: '@article{Hilgert_Kahl_Weich_2026, title={Spectral theory for transfer operators
    on compact quotients of Euclidean buildings}, journal={arXiv:2603.26949}, author={Hilgert,
    Joachim and Kahl, Daniel and Weich, Tobias}, year={2026} }'
  chicago: Hilgert, Joachim, Daniel Kahl, and Tobias Weich. “Spectral Theory for Transfer
    Operators on Compact Quotients of Euclidean Buildings.” <i>ArXiv:2603.26949</i>,
    2026.
  ieee: J. Hilgert, D. Kahl, and T. Weich, “Spectral theory for transfer operators
    on compact quotients of Euclidean buildings,” <i>arXiv:2603.26949</i>. 2026.
  mla: Hilgert, Joachim, et al. “Spectral Theory for Transfer Operators on Compact
    Quotients of Euclidean Buildings.” <i>ArXiv:2603.26949</i>, 2026.
  short: J. Hilgert, D. Kahl, T. Weich, ArXiv:2603.26949 (2026).
date_created: 2026-03-31T08:30:34Z
date_updated: 2026-03-31T08:31:01Z
external_id:
  arxiv:
  - '2603.26949'
language:
- iso: eng
publication: arXiv:2603.26949
status: public
title: Spectral theory for transfer operators on compact quotients of Euclidean buildings
type: preprint
user_id: '220'
year: '2026'
...