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arXiv · 2211.08528

Kneading Theory for Iteration of Monotonous Functions on the Real Line

Ermerson Araujo·Alex Zamudio Espinosa
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Abstract

We construct a version of kneading theory for families of monotonous functions on the real line. The generality of the setup covers two classical results from Milnor-Thurston's kneading theory: the first one is to dynamically characterise an $l$-modal map by its kneading sequence, the second one is to define the concept of kneading determinant, relate it to topological entropy and use this to construct a certain type of special "linearazing measure".

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Ermerson Araujo, Alex Zamudio Espinosa. 2022-11-15. Kneading Theory for Iteration of Monotonous Functions on the Real Line. https://arxiv.org/abs/2211.08528

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