A survey on computing the topological entropy of cubic polynomials

DOI10.1016/J.INDAG.2021.05.004zbMath1481.37016arXiv2006.13795OpenAlexW3171450133MaRDI QIDQ2040151

Yanyan Li

Publication date: 12 July 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13795

zbMATH Keywords

logistic maptopological entropy

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• An improved algorithm for computing topological entropy
• Kneading sequences of skew tent maps
• Computing the topological entropy of maps of the interval with three monotone pieces
• Calculating topological entropy
• On entropy and monotonicity for real cubic maps (with an appendix by Adrien Douady and Pierrette Sentenac)
• Density of hyperbolicity for classes of real transcendental entire functions and circle maps
• Computing topological entropy in a space of quartic polynomials
• Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps
• On the structure of isentropes of polynomial maps
• Monotonicity of entropy for real multimodal maps
• Computing the Topological Entropy of General One-Dimensional Maps

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