89 citations · 1.1k across the 43 of their papers we have counts for
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math.AP2018★ 35 cited
Microlocal analysis of forced waves
Semyon Dyatlov, Maciej Zworski
We use radial estimates for pseudodifferential operators to describe long time evolution of solutions to where is a self-adjoint 0th order pseudodifferent…
math.DS2018★ 8 cited
Notes on hyperbolic dynamics
Semyon Dyatlov
These expository notes present a proof of the Stable/Unstable Manifold Theorem (also known as the Hadamard--Perron Theorem). They also give examples of hyperbolic dynamics: geodesi…
math.DS2018★ 18 cited
Dynamical zeta functions for Axiom A flows
Semyon Dyatlov, Colin Guillarmou
We show that the Ruelle zeta function of any smooth Axiom A flow with orientable stable/unstable spaces has a meromorphic continuation to the entire complex plane. The proof uses t…