On the structure of isentropes of polynomial maps

DOI10.1080/14689367.2013.822458zbMath1290.37019arXiv1303.0497OpenAlexW2167465148WikidataQ59184774 ScholiaQ59184774MaRDI QIDQ5406307

Henk Bruin, Sebastian J. van Strien

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0497

zbMATH Keywords

interval mapstopological entropypolynomial mapsisentrope

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)

Related Items (4)

Isentropes and Lyapunov exponents ⋮ A survey on computing the topological entropy of cubic polynomials ⋮ Monotonicity of entropy for real multimodal maps ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps

Cites Work

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• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II
• 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
• Rigidity for real polynomials
• The connected isentropes conjecture in a space of quartic polynomials
• A C^r unimodal map with an arbitrary fast growth of the number of periodic points
• Multipliers of periodic orbits in spaces of rational maps
• On theβ-expansions of real numbers
• A simple proof for monotonicity of entropy in the quadratic family
• Monotonicity of entropy for real multimodal maps

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