Wandering continua for rational maps

Abstract

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.

References in corpus (2)

• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• A characterization of hyperbolic rational maps