English

A Markov partition for the Feigenbaum dynamics

Dynamical Systems 2007-05-23 v2 Complex Variables

Abstract

We build a Markov partition of the Feigenbaum dynamical plane, and a system of "external rays", which are invariant under rescaling. Applications to geometry of the Feigenbaum map are given.

Cite

@article{arxiv.math/0210306,
  title  = {A Markov partition for the Feigenbaum dynamics},
  author = {Genadi Levin},
  journal= {arXiv preprint arXiv:math/0210306},
  year   = {2007}
}

Comments

revised version, accepted by the journal Ergodic Theory and Dynamical Systems