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arXiv · 1111.4206

Transitivity and topological mixing for C1 diffeomorphisms

Flavio Abdenur·Sylvain Crovisier
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Abstract

We prove that, on connected compact manifolds, both C1-generic conservative diffeomorphisms and C1-generic transitive diffeomorphisms are topologically mixing. This is obtained through a description of the periods of a homoclinic class and by a control of the period of the periodic points given by the closing lemma.

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Flavio Abdenur, Sylvain Crovisier. 2011-11-17. Transitivity and topological mixing for C1 diffeomorphisms. https://arxiv.org/abs/1111.4206

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