Ruelle zeta function at zero for surfaces

Author(s)
Dyatlov, Semyon; Zworski, Maciej
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Abstract
© 2017, Springer-Verlag Berlin Heidelberg. We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.
Date issued
2017
URI
https://hdl.handle.net/1721.1/133912
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Inventiones Mathematicae
Publisher
Springer Nature
Citation
Dyatlov, S., and M. Zworski. "Ruelle Zeta Function at Zero for Surfaces." Inventiones Mathematicae (2017): 1-19.
Version: Author's final manuscript
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