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Paper detail

Transitivity and topological mixing for C1 diffeomorphisms

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.

preprint2016arXivOpen access
Flavio AbdenurSylvain Crovisier
math.DS
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Flavio AbdenurSylvain Crovisier

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