15 citations · 29 across the 4 of their papers we have counts for
4 papers
Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems
A. Korepanov, J. Leppänen
We study nonstationary dynamical systems formed by sequential concatenation of nonuniformly expanding maps with a uniformly expanding first return map. Assuming a polynomially deca…
Loss of memory and moment bounds for nonstationary intermittent dynamical systems
Alexey Korepanov, Juho Leppänen
We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau-Manneville maps. We prove two main results: sharp bounds on memo…
Spatial structure of Sinai-Ruelle-Bowen measures
N. Chernov, A. Korepanov
Sinai-Ruelle-Bowen measures are the only physically observable invariant measures for billiard dynamical systems under small perturbations. These measures are singular, but as it w…
Stable regimes for hard disks in a channel with twisting walls
Nikolai Chernov, Alexey Korepanov, Nandor Simanyi
We study a gas of hard disks in a box with semi-periodic boundary conditions. The unperturbed gas is hyperbolic and ergodic (these facts are proved for N=2 and expected to be t…