Abstract
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.
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Liu, Q. Random C 0 homeomorphism perturbations of hyperbolic sets. Arch. Math. 94, 165–171 (2010). https://doi.org/10.1007/s00013-009-0087-3
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DOI: https://doi.org/10.1007/s00013-009-0087-3