The growth rate inequality for Thurston maps with non hyperbolic orbifolds
Resumen:
Let f : S2 → S2 be a continuous map of degree d, |d| > 1, and let Nnf denote the number of fixed points of f n. We show that if f is a Thurston map with non hyperbolic orbifold, then either the growth rate inequality lim sup 1 n log Nnf ≥ log |d| holds for f or f has exactly two critical points which are fixed and totally invariant.
| 2022 | |
| Dynamical Systems | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54822 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
