Dynamical zeta functions for Anosov flows via microlocal analysis

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 [13] but our approach is different and is based on the study of the generator...

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Bibliographic Details
Main Authors: Dyatlov, Semyon, Dyatlov, Semen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Societe Mathematique de France 2018
Online Access:http://hdl.handle.net/1721.1/115500
https://orcid.org/0000-0002-6594-7604