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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Bibliographic Details
Main Authors: José M. Amigó, Ángel Giménez
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/10/1136