2 papers
math.DS2020
Generic Rotation Sets in Hyperbolic Surfaces
J. Alonso, J. Brum, A. Passeggi
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…
math.DS2008
Local product structure for expansive homeomorphisms
Alfonso Artigue, Joaquin Brum, Rafael Potrie
Let be an expansive homeomorphism with dense topologically hyperbolic periodic points, a compact manifold. Then there is a local product structure in an open a…