English

Transitivity of generic semigroups of area-preserving surface diffeomorphisms

Dynamical Systems 2011-08-30 v3

Abstract

We prove that the action of the semigroup generated by a CrC^r generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive.

Keywords

Cite

@article{arxiv.0905.0305,
  title  = {Transitivity of generic semigroups of area-preserving surface diffeomorphisms},
  author = {Andres Koropecki and Meysam Nassiri},
  journal= {arXiv preprint arXiv:0905.0305},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T12:57:46.217Z