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A Markov partition for the Feigenbaum dynamics

Published online by Cambridge University Press:  03 March 2005

GENADI LEVIN
GENADI LEVIN
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel (e-mail: [email protected])
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 3 , June 2005 , pp. 873 - 891
Copyright
2005 Cambridge University Press

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