A Markov partition for the Feigenbaum dynamics

2002/10/19 by Genadi Levin, Levin, Genadi
Mathematics · #Mathematics and Applications #Point processes and geometric inequalities #math.CV #math.DS

paper · pdf · doi:10.48550/arxiv.math/0210306

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

arxiv created 2004/11/27 · arxiv updated 2009/11/30

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.

Related

• Diophantine approximation by orbits of Markov maps
• Dynamical Systems, Fractal Geometry and Diophantine Approximations
• Diophantine approximation by orbits of expanding Markov maps
• Dynamics on fractals and fractal distributions
• Geometry of the Feigenbaum map