Sphere branched coverings and the growth rate inequality

Iglesias, Jorge - Portela, Aldo - Rovella, Álvaro - Xavier, Juliana

Resumen:

We show that the growth inequality rate lim sup 1 n log(# Fix(f n )) ≥ log d holds for branched coverings of degree d of the sphere S2 having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.

Detalles Bibliográficos
2016
Dynamical Systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54826
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)