89 citations · 1.1k across the 43 of their papers we have counts for
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math.SP2012★ 23 cited
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances
Kiril Datchev, Semyon Dyatlov, Maciej Zworski
We give a sharp polynomial bound on the number of Pollicott-Ruelle resonances. These resonances, which are complex numbers in the lower half-plane, appear in expansions of correlat…
math.SP2012★ 6 cited
Scattering phase asymptotics with fractal remainders
Semyon Dyatlov, Colin Guillarmou
For a Riemannian manifold which is isometric to the Euclidean space outside of a compact set, and whose trapped set has Liouville measure zero, we prove Weyl type asymptoti…