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math.DS2021★ 1 cited
Exponential Fermi Acceleration in a Switching Billiard
Davit Karagulyan, Jing Zhou
In this paper we show an infinite measure set of exponentially escaping orbits for a resonant Fermi accelerator, which is realised as a square billiard with a periodically oscillat…
math.DS2017
Hausdorff dimension of a class of three-interval exchange maps
Davit Karagulyan
In \cite{B} Bourgain proves that Sarnak's disjointness conjecture holds for a certain class of Three-interval exchange maps. In the present paper we slightly improve the Diophantin…