Random C 0 homeomorphism perturbations of hyperbolic sets
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In this note we consider random C 0 homeomorphism perturbations of a hyperbolic set of a C 1 diffeomorphism. We show that the hyperbolic set is semi-stable under such perturbations, in particular, the topological entropy will not decrease under such perturbations.
Mathematics Subject Classification (2000)Primary 37D20 Secondary 37C60
KeywordsRandom perturbation Hyperbolic set Semi-stability
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