Monotonicity of entropy for unimodal real quadratic rational maps

DOI10.3934/dcds.2022101OpenAlexW4287670430MaRDI QIDQ2676617

Yan Gao

Publication date: 28 September 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03797

zbMATH Keywords

entropymonotonicitymoduli spaceunimodalrational maps

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Cites Work

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• Holomorphic families of injections
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• Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof
• Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps
• Geometry and Dynamics of Quadratic Rational Maps
• Monotonicity of entropy for real quadratic rational maps
• The W. Thurston algorithm applied to real polynomial maps
• On the structure of isentropes of real polynomials
• Monotonicity of entropy for real multimodal maps

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