Kneading Theory for Iteration of Monotonous Functions on the Real Line
Dynamical Systems
2022-11-17 v1
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 -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".
Keywords
Cite
@article{arxiv.2211.08528,
title = {Kneading Theory for Iteration of Monotonous Functions on the Real Line},
author = {Ermerson Araujo and Alex Zamudio Espinosa},
journal= {arXiv preprint arXiv:2211.08528},
year = {2022}
}