1 citations · 1 across the 4 of their papers we have counts for
6 papers
On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions
Michihiro Hirayama, Davit Karagulyan
Let be the two dimensional Haar system and be the rectangular partial sums of its Fourier series with respect to some $f\in L^1([0,1)^2…
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…
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 so that the random intervals $I_n : = (ω_n -(\ell_n/2), ω_n +…
Differentiation properties of class 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 so that for almost every \[ \lim_{\substack{\mathrm…
On -Dvoretzky random covering of the circle
Aihua Fan, Davit Karagulyan
In this paper, we study the Dvoretzky covering problem with non-uniformly distributed centers. When the probability law of the centers admits an absolutely continuous density which…
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…