Monotonicity of entropy for unimodal real quadratic rational maps

2020/09/08 by Yan Gao, Gao, Yan
Chemistry · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Chromatography in Natural Products #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2009.03797

openalex publication_date 2020/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the topological entropy is monotonic for unimodal interval maps which are obtained from the restriction of quadratic rational maps with real coefficients. This is done by ruling out the existence of certain post-critical curves in the moduli space of aforementioned maps, and confirms a conjecture made in [Fil19] based on experimental evidence.

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