On the structure of isentropes of real polynomials
Dynamical Systems
2019-01-23 v1
Abstract
In this paper we will modify the Milnor--Thurston map, which maps a one dimensional mapping to a piece-wise linear of the same entropy, and study its properties. This will allow us to give a simple proof of monotonicity of topological entropy for real polynomials and better understand when a one dimensional map can and cannot be approximated by hyperbolic maps of the same entropy. In particular, we will find maps of particular combinatorics which cannot be approximated by hyperbolic maps of the same entropy.
Keywords
Cite
@article{arxiv.1901.06906,
title = {On the structure of isentropes of real polynomials},
author = {Oleg Kozlovski},
journal= {arXiv preprint arXiv:1901.06906},
year = {2019}
}