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Entropy Monotonicity and Superstable Cycles for the Quadratic Family Revisited

The main result of this paper is a proof using real analysis of the monotonicity of the topological entropy for the family of quadratic maps, sometimes called Milnor’s Monotonicity Conjecture. In contrast, the existing proofs rely in one way or another on complex analysis. Our proof is based on tool...

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Detalles Bibliográficos
Autores principales: Amigó, José M., Giménez, Ángel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597281/
https://www.ncbi.nlm.nih.gov/pubmed/33286905
http://dx.doi.org/10.3390/e22101136