DYNAMICAL ZETA FUNCTIONS FOR ANOSOV FLOWS VIA MICROLOCAL ANALYSIS

作者:Dyatlov Semyon*; Zworski Maciej
来源:Annales Scientifiques de l'Ecole Normale Superieure, 2016, 49(3): 543-577.
DOI:10.24033/asens.2290

摘要

The purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the Ruelle zeta function for C-infinity 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 of the flow as a semiclassical differential operator.

  • 出版日期2016-6
  • 单位MIT