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Transitivity of generic semigroups of area-preserving surface diffeomorphisms - MaRDI portal

Transitivity of generic semigroups of area-preserving surface diffeomorphisms (Q707571)

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Transitivity of generic semigroups of area-preserving surface diffeomorphisms
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    Transitivity of generic semigroups of area-preserving surface diffeomorphisms (English)
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    8 October 2010
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    The aim of the paper under review is to prove that the action of the semigroup generated by a \(C^r\) generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive. Recall that here transitive means that there exists a point with dense orbit.
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