English

Locally discrete groups of analytic diffeomorphisms of the circle

Dynamical Systems 2020-05-27 v1

Abstract

We show that a finitely generated group of analytic diffeomorphisms that is expanding and locally discrete in the analytic category is analytically conjugate to a uniform lattice of a finite covering of the group of projective maps of the projective line, acting naturally on the corresponding finite covering of the projective line.

Keywords

Cite

@article{arxiv.1811.10298,
  title  = {Locally discrete groups of analytic diffeomorphisms of the circle},
  author = {Bertrand Deroin},
  journal= {arXiv preprint arXiv:1811.10298},
  year   = {2020}
}

Comments

14 pages