Persistent Markov partitions for rational maps

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.

57 pages. More extensive corrections to Section 1

Cited by in corpus (2)

• Invariant Jordan curves of Sierpiski carpet rational maps
• Persistent Markov partitions and hyperbolic components of rational maps