English

Wandering continua for rational maps

Dynamical Systems 2015-07-21 v2

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.

Keywords

Cite

@article{arxiv.1404.7606,
  title  = {Wandering continua for rational maps},
  author = {Guizhen Cui and Yan Gao},
  journal= {arXiv preprint arXiv:1404.7606},
  year   = {2015}
}
R2 v1 2026-06-22T04:02:40.740Z