89 citations · 1.1k across the 43 of their papers we have counts for
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math.DS2013
Dynamical zeta functions for Anosov flows via microlocal analysis
Semyon Dyatlov, Maciej Zworski
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…
gr-qc2013★ 17 cited
Trapping of waves and null geodesics for rotating black holes
Semyon Dyatlov, Maciej Zworski
We present dynamical properties of linear waves and null geodesics valid for Kerr and Kerr-de Sitter black holes and their stationary perturbations. The two are intimately linked b…
math.AP2013★ 51 cited
Resonance projectors and asymptotics for r-normally hyperbolic trapped sets
Semyon Dyatlov
We prove an asymptotic formula for the number of scattering resonances in a strip near the real axis when the trapped set is r-normally hyperbolic with r large and a pinching condi…