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Hyperbolicity of renormalization for bi-cubic circle maps with bounded combinatorics

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Estevez Jacinto, Gabriela Alexandra

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Hyperbolicity of renormalization for bi-cubic circle maps with bounded combinatorics
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27
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In this talk we study real analytic bi-cubic circle maps with bounded type rotation number. We define a suitable functional space where the renormalization operator is analytic, and we construct a hyperbolic attractor of renormalization with codimension-two stable foliation. This is joint work with Michael Yampolsky.
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