D. Karagulyan

activity

20172022

most citedExponential Fermi Acceleration in a Switching Billiard

1 citations · 1 across the 5 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

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.PR2021

On genericity of non-uniform Dvoretzky coverings of the circle

Michihiro Hirayama, Davit Karagulyan

The classical Dvoretzky covering problem asks for conditions on the sequence of lengths ${ℓ_{n}}_{n \in N}$ so that the random intervals $I_n : = (ω_n -(\ell_n/2), ω_n +…

math.CA2021

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles

Michihiro Hirayama, Davit Karagulyan

It is a well-known result by Saks \cite{Saks1934} that there exists a function $f \in L^{1} (R^{2})$ so that for almost every $(x, y) \in R^{2}$ \[ \lim_{\substack{\mathrm…

Exponential Fermi Acceleration in a Switching Billiard

On genericity of non-uniform Dvoretzky coverings of the circle

Differentiation properties of class L1([0,1]2) with respect to two different basis of rectangles

Differentiation properties of class $L^{1} ([0, 1]^{2})$ with respect to two different basis of rectangles