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math.DS2013
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…
math.DS2013
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…