125 citations · 146 across the 6 of their papers we have counts for
6 papers
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…
Upgrading the Local Ergodic Theorem for planar semi-dispersing billiards
N. Chernov, N. Simanyi
The Local Ergodic Theorem (also known as the `Fundamental Theorem') gives sufficient conditions under which a phase point has an open neighborhood that belongs (mod 0) to one ergod…
Billiards with polynomial mixing rates
Nikolai Chernov, Hong-Kun Zhang
While many dynamical systems of mechanical origin, in particular billiards, are strongly chaotic -- enjoy exponential mixing, the rates of mixing in many other models are slow (alg…
On a slow drift of a massive piston in an ideal gas that remains at mechanical equilibrium
N. Chernov
We consider a heavy piston in an infinite cylinder surrounded by ideal gases on both sides. The piston moves under elastic collisions with gas atoms. We assume here that the gases…
Measures with infinite Lyapunov exponents for the periodic Lorentz gas
N. I. Chernov, Serge Troubetzkoy
In \cite{Ch91a} it was shown that the billiard ball map for the periodic Lorentz gas has infinite topological entropy. In this article we study the set of points with infinite Lyap…