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arXiv · 1702.01214

Renormalization for unimodal maps with non-integer exponents

Igors Gorbovickis·Michael Yampolsky
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Abstract

We define an analytic setting for renormalization of unimodal maps with an arbitrary critical exponent. We prove the global Hyperbolicity of Renormalization conjecture for unimodal maps of bounded type with a critical exponent which is sufficiently close to an even integer.

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Igors Gorbovickis, Michael Yampolsky. 2017-02-04. Renormalization for unimodal maps with non-integer exponents. https://arxiv.org/abs/1702.01214

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