Dynamical zeta functions for Anosov flows via microlocal analysis
Author(s)Dyatlov, Semyon; Dyatlov, Semen
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The purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the Ruelle zeta function for C ∞ Anosov flows. More general results have been recently proved by Giulietti-Liverani-Pollicott  but our approach is different and is based on the study of the generator of the flow as a semiclassical differential operator.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Annales scientifiques de l'École normale supérieure
Societe Mathematique de France
Dyatlov, Semyon, and Maciej Zworski. “Dynamical Zeta Functions for Anosov Flows via Microlocal Analysis.” Annales Scientifiques de l’École Normale Supérieure 49, 3 (2016): 543–577 © 2016 Société Mathématique de France