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Transitivity of generic semigroups of area-preserving surface diffeomorphisms. (English) Zbl 1215.37019
Math. Z. 266, No. 3, 707-718 (2010); erratum ibid. 268, No. 1-2, 601-604 (2011).
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.

MSC:
37C05 Dynamical systems involving smooth mappings and diffeomorphisms
57S99 Topological transformation groups
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