4 citations · 5 across the 4 of their papers we have counts for
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Epicycles in hyperbolic sky
Olga Romaskevich
Consider a swiveling arm on an oriented complete riemannian surface composed of three geodesic intervals, attached one to another in a chain. Each interval of the arm rotates with…
Sternberg linearization theorem for skew products
Yulij Ilyashenko, Olga Romaskevich
We present a new kind of normalization theorem: linearization theorem for skew products. The normal form is a skew product again, with the fiber maps linear. It appears, that even…
Mean convergence of Markovian spherical averages for measure-preserving actions of the free group
Lewis Bowen, Alexander Bufetov, Olga Romaskevich
Mean convergence of Markovian spherical averages is established for a measure-preserving action of a finitely-generated free group on a probability space. We endow the set of gener…
Asymptotic properties of Arnold tongues and Josephson effect
A. Klimenko, O. Romaskevich
A three-parametrical family of ODEs on a torus arises from a model of Josephson effect in a resistive case when a Josephson junction is biased by a sinusoidal microwave current. We…