The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps

Michael Yampolsky

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The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps

Michael Yampolsky

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Abstract

We demonstrate the existence of a global attractor A with a Cantor set structure for the renormalization of critical circle mappings. The set A is invariant under a generalized renormalization transformation, whose action on A is conjugate to the two-sided shift.

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Michael Yampolsky. 1998-05-27. The Attractor of Renormalization and Rigidity of Towers of Critical Circle Maps. https://arxiv.org/abs/math/9805125

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