A local trace formula for Anosov flows (with an appendix by Frédéric Naud)
arXiv:1411.6177
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.
35 pages, 2 figures