Diabolical Entropy

Milnor and Thurston’s famous paper proved monotonicity of the topological entropy for the real quadratic family. Guckenheimer showed that it is Hölder continuous. We obtain a precise formula for the Hölder exponent at almost every quadratic parameter. Furthermore, the entropy at most parameters is p...

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Veröffentlicht in:	Communications in mathematical physics 2019-02, Vol.365 (3), p.1091-1123
Hauptverfasser:	Dobbs, Neil, Mihalache, Nicolae
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Dynamical Systems Entropy Mathematical and Computational Physics Mathematical Physics Mathematics Parameters Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
Online-Zugang:	Volltext
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