A Markov partition for the Feigenbaum dynamics

Details A Markov partition for the Feigenbaum dynamics A Markov partition for the Feigenbaum dynamics

2002-10-19

arxiv.org/abs/math/0210306v2

Mathematics

Dynamical Systems

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

Scientific paper

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.

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