9 citations · 15 across the 5 of their papers we have counts for
6 papers
Sub-exponential mixing of open systems with particle-disk interactions
Tatiana Yarmola
We consider a class of mechanical particle systems with deterministic particle-disk interactions coupled to Gibbs heat reservoirs at possibly different temperatures. We show that t…
A pathological random perturbation of the Cat Map
Tatiana Yarmola
In this paper we give an example of a random perturbation of the Cat Map that produces a "global statistical attractor" in the form of a line segment. The transition probabilities…
Degenerate random perturbations of Anosov diffeomorphisms
Tatiana Yarmola
This paper deals with random perturbations of diffeomorphisms on n-dimensional Riemannian manifolds with distributions supported on k-dimensional disks, where k<n. First we demonst…
Ergodic properties of random billiards driven by thermostats
Konstantin Khanin, Tatiana Yarmola
We consider a class of mechanical particle systems interacting with thermostats. Particles move freely between collisions with disk-shaped thermostats arranged periodically on the…
Ergodicity of some open systems with particle-disk interactions
Tatiana Yarmola
We consider steady states for a class of mechanical systems with particle-disk interactions coupled to two, possibly unequal, heat baths. We show that any steady state that satisfi…
Sub-exponential mixing of random billiards driven by thermostats
Tatiana Yarmola
We study the class of open continuous-time mechanical particle systems introduced in the paper by Khanin and Yarmola [Ergodic Properties of Random Billiards Driven by Thermostats.…