Renormalization for unimodal maps with non-integer exponents

2017/02/04 by Igors Gorbovickis, Gorbovickis, Igors, Michael Yampolsky +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1702.01214

openalex publication_date 2017/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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