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arXiv · 1306.4203

Dynamical zeta functions for Anosov flows via microlocal analysis

Semyon Dyatlov·Maciej Zworski
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Abstract

The purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the Ruelle zeta function for C^\infty Anosov flows. More general results have been recently proved by Giulietti-Liverani-Pollicott [arXiv:1203.0904] but our approach is different and is based on the study of the generator on the flow as a semiclassical differential operator.

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Semyon Dyatlov, Maciej Zworski. 2016-02-15. Dynamical zeta functions for Anosov flows via microlocal analysis. https://arxiv.org/abs/1306.4203

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