Monotonicity of entropy for unimodal real quadratic rational maps
Dynamical Systems
2020-09-09 v1
Abstract
We show that the topological entropy is monotonic for unimodal interval maps which are obtained from the restriction of quadratic rational maps with real coefficients. This is done by ruling out the existence of certain post-critical curves in the moduli space of aforementioned maps, and confirms a conjecture made in [Fil19] based on experimental evidence.
Keywords
Cite
@article{arxiv.2009.03797,
title = {Monotonicity of entropy for unimodal real quadratic rational maps},
author = {Yan Gao},
journal= {arXiv preprint arXiv:2009.03797},
year = {2020}
}