666 citations
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Showing 2009 · math.DSShow all
3 papers · 2 filters
math.DS2009★ 17 cited
Aperiodic invariant continua for surface homeomorphisms
Andres Koropecki
We prove that if a homeomorphism of a closed orientable surface S has no wandering points and leaves invariant a compact, connected set K which contains no periodic points, then ei…
math.DS2009★ 19 cited
Transitivity of generic semigroups of area-preserving surface diffeomorphisms
Andres Koropecki, Meysam Nassiri
We prove that the action of the semigroup generated by a generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive.
math.DS2009★ 15 cited
A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus
Alejandro Kocsard, Andres Koropecki
We consider diffeomorphisms in the -closure of the conjugancy class of translations of the 2-torus. By a theorem of Fathi and Herman, a generic diffeomorphism in that spa…