English

Persistent Markov partitions for rational maps

Dynamical Systems 2020-04-27 v5

Abstract

A construction is given of Markov partitions for some rational maps, which persist over regions of parameter space, not confined to single hyperbolic components. The set on which the Markov partition exists, and its boundary, are analysed.

Keywords

Cite

@article{arxiv.1306.6166,
  title  = {Persistent Markov partitions for rational maps},
  author = {Mary Rees},
  journal= {arXiv preprint arXiv:1306.6166},
  year   = {2020}
}

Comments

57 pages. More extensive corrections to Section 1

R2 v1 2026-06-22T00:40:29.622Z