89 citations · 1.1k across the 43 of their papers we have counts for
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math.AP2010★ 67 cited
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
Andras Vasy, Semyon Dyatlov
In this paper we develop a general, systematic, microlocal framework for the Fredholm analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which i…
math.AP2010
Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
Semyon Dyatlov
We establish an exponential decay estimate for linear waves on the Kerr-de Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of arXiv:1003.6128 with the re…
math.AP2010★ 86 cited
Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
Semyon Dyatlov
We provide a rigorous definition of quasi-normal modes for a rotating black hole. They are given by the poles of a certain meromorphic family of operators and agree with the heuris…