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arXiv · 1411.6177

A local trace formula for Anosov flows (with an appendix by Fr\'ed\'eric Naud)

Long Jin·Frédéric Naud·Maciej Zworski
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Abstract

We prove a local trace formula for Anosov flows. It relates Pollicott--Ruelle resonances to the periods of closed orbits. As an application, we show that the counting function for resonances in a sufficiently wide strip cannot have a sublinear growth. In particular, for any Anosov flow there exist strips with infinitely many resonances.

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Long Jin, Frédéric Naud, Maciej Zworski. 2014-11-22. A local trace formula for Anosov flows (with an appendix by Fr\'ed\'eric Naud). https://arxiv.org/abs/1411.6177

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