6 citations · 12 across the 6 of their papers we have counts for
7 papers
Spatial limit theorem for interval exchange transformations
Alexey Klimenko
We prove a spatial limit theorem for generic interval exchange transformations (IETs): for a generic IET the normalized ergodic sums of a sufficiently regular (e.g., Lipschitz) fun…
Convergence of spherical averages for actions of Fuchsian Groups
Alexander I. Bufetov, Alexey Klimenko, Caroline Series
Pointwise convergence of spherical averages is proved for a measure-preserving action of a Fuchsian group. The proof is based on a new variant of the Bowen-Series symbolic coding f…
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…
The geometric interpretation of the cosmological repulsion forces
A. V. Klimenko, V. A. Klimenko
It seems likely that the generalized Einstein equations are not complete and only partly account for the effect on the Universe dynamics of that part of the energy of the space env…
Dynamics of empty homogeneous isotropic three-dimensional spaces
A. V. Klimenko, V. A. Klimenko
It is shown that there are seven types of solutions described in the framework of general relativity theory (GRT), the dynamics of empty homogeneous isotropic three-dimensional spa…
Cesaro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups
Alexander Bufetov, Mikhail Khristoforov, Alexey Klimenko
Cesaro convergence of spherical averages is proven for measure-preserving actions of Markov semigroups and groups. Convergence in the mean is established for functions in , $1…