Transitivity of generic semigroups of area-preserving surface diffeomorphisms

Details Transitivity of generic semigroups of area-preserving surface diffeomorphisms Transitivity of generic semigroups of area-preserving surface diffeomorphisms

2009-05-04

arxiv.org/abs/0905.0305v3

Math Z., 266 (3), pp. 707-718 (2010)

Mathematics

Dynamical Systems

14 pages. This version fills a gap in our argument (incorporates changes from the corrigendum to the original article, to appe

Scientific paper

10.1007/s00209-009-0595-7

We 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.

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