Wandering continua for rational maps

Guizhen Cui (1) , Yan Gao (2)

1 Institute of Mathematics
2 mathematic department of SCU

We prove that a Latt' es map admits an eventually simply-connected wandering continuum precisely when it is flexible. The simply-connected wandering continuum is a line segment in a bi-infinite geodesic under the flat metric.

Mots clés: wandering continuum; Lattes map; rational map

Domaines: Systèmes dynamiques [math.DS]

Guizhen Cui, Yan Gao. Wandering continua for rational maps. 2014. ⟨hal-00863934⟩