Generic Rotation Sets in Hyperbolic Surfaces
Dynamical Systems
2020-06-23 v1
Abstract
We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus , the rotation set is given by a union of at most convex sets. Examples showing the sharpness for this asymptotic order are provided.
Keywords
Cite
@article{arxiv.2006.12345,
title = {Generic Rotation Sets in Hyperbolic Surfaces},
author = {J. Alonso and J. Brum and A. Passeggi},
journal= {arXiv preprint arXiv:2006.12345},
year = {2020}
}