Spectral theory for transfer operators on compact quotients of Euclidean buildings
J. Hilgert, D. Kahl, T. Weich, ArXiv:2603.26949 (2026).
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Abstract
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.
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arXiv:2603.26949
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Hilgert J, Kahl D, Weich T. Spectral theory for transfer operators on compact quotients of Euclidean buildings. arXiv:260326949. Published online 2026.
Hilgert, J., Kahl, D., & Weich, T. (2026). Spectral theory for transfer operators on compact quotients of Euclidean buildings. In arXiv:2603.26949.
@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} }
Hilgert, Joachim, Daniel Kahl, and Tobias Weich. “Spectral Theory for Transfer Operators on Compact Quotients of Euclidean Buildings.” ArXiv:2603.26949, 2026.
J. Hilgert, D. Kahl, and T. Weich, “Spectral theory for transfer operators on compact quotients of Euclidean buildings,” arXiv:2603.26949. 2026.
Hilgert, Joachim, et al. “Spectral Theory for Transfer Operators on Compact Quotients of Euclidean Buildings.” ArXiv:2603.26949, 2026.
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