Irreducible complexity of iterated symmetric bimodal maps
J. P. Lampreia, R. Severino, J. Sousa Ramos
Abstract
We introduce a tree structure for the iterates of symmetric bimodal maps and identify a subset which we prove to be isomorphic to the family of unimodal maps. This subset is used as a second factor for a -product that we define in the space of bimodal kneading sequences. Finally, we give some properties for this product and study the *-product induced on the associated Markov shifts.
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