Geodesic flows on negatively curved manifolds and the semi-classical zeta function
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Masato Tsujii
Translated by: the author - Sugaku Expositions 31 (2018), 69-92
- DOI: https://doi.org/10.1090/suga/429
- Published electronically: March 20, 2018
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Abstract:
In this article, we report some recent advances in the study of spectral properties of transfer operators for geodesic flows on negatively curved manifolds. We first review related studies, explaining important concepts and introduce basic definitions. We then discuss recent results on spectral properties of the (generator of) transfer operators and also related analytic properties of dynamical zeta functions.References
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Bibliographic Information
- Masato Tsujii
- Affiliation: Department of Mathematics, Kyushu University, Motooka 744, Nishi-ku, Fukuoka, 819-0395, Japan
- Address at time of publication: Department of Mathematics, Kyushu University, Motooka 744, Nishi-ku, Fukuoka, 819-0395, Japan
- Email: tsujii@math.kyushu-u.ac.jp
- Published electronically: March 20, 2018
- Additional Notes: The author was supported in part by JSPS KAKENHI Grant Number 22340035.
- © Copyright 2018 American Mathematical Society
- Journal: Sugaku Expositions 31 (2018), 69-92
- MSC (2010): Primary 37C30, 37D40; Secondary 53D25, 81Q50
- DOI: https://doi.org/10.1090/suga/429
- MathSciNet review: 3784699