Generic rotation sets in hyperbolic surfaces.

Alonso, Juan - Brum, Joaquín - Passegi, Alejandro

Resumen:

We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus g>1, the rotation set is given by a union of at most 25g−3 convex sets. Examples showing the sharpness for this asymptotic order are provided.

Detalles Bibliográficos
2020
Dynamical systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/47601
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)