41 citations · 41 across the 4 of their papers we have counts for
5 papers
A family of chaotic billiards with variable mixing rates
Nikolai Chernov, Hong-Kun Zhang
We describe a one-parameter family of dispersing (hence hyperbolic, ergodic and mixing) billiards where the correlation function of the collision map decays as (here de…
Statistical efficiency of curve fitting algorithms
N. Chernov, C. Lesort
We study the problem of fitting parametrized curves to noisy data. Under certain assumptions (known as Cartesian and radial functional models), we derive asymptotic expressions for…
Dynamics of a Massive Piston in an Ideal Gas
N. Chernov, J. L. Lebowitz, Ya. Sinai
We study a dynamical system consisting of a massive piston in a cubical container of large size filled with an ideal gas. The piston has mass and undergoes elastic…
Least squares fitting of circles and lines
N. Chernov, C. Lesort
We study theoretical and computational aspects of the least squares fit (LSF) of circles and circular arcs. First we discuss the existence and uniqueness of LSF and various paramet…
Dynamical Borel-Cantelli lemmas for Gibbs measures
Nikolai Chernov, Dmitry Kleinbock
Let be a deterministic dynamical system preserving a probability measure . A dynamical Borel-Cantelli lemma asserts that for certain sequences of subsets $A_n\su…