Titlebook: Essays in Mathematics and its Applications; In Honor of Stephen Panos M. Pardalos,Themistocles M. Rassias Book 2012 Springer-Verlag Berlin

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Counting Points on Curves over Finite FieldsWe prove that, on connected compact manifolds, both ..-generic conservative diffeomorphisms and ..-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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