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An example of a pathological random perturbation of the Cat Map
Published online by Cambridge University Press: 25 May 2011
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 𝕋2 are attracted to distributions supported on this line segment.
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- Copyright © Cambridge University Press 2011
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