Renormalization for unimodal maps with non-integer exponents
classification
🧮 math.DS
keywords
mapsrenormalizationunimodalcriticalexponentanalyticarbitrarybounded
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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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