A pathological random perturbation of the Cat Map
Dynamical Systems
2013-01-21 v1
Abstract
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 for this random perturbation are smooth in some but not all directions. All initial distributions on are attracted to distributions supported on this line segment.
Cite
@article{arxiv.1301.4413,
title = {A pathological random perturbation of the Cat Map},
author = {Tatiana Yarmola},
journal= {arXiv preprint arXiv:1301.4413},
year = {2013}
}