Yan Gao
Published 2020-09-08Version 1
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.
Automorphism loci for the moduli space of rational maps
Indeterminacy loci of iterate maps in moduli space
Right-angled billiards and volumes of moduli spaces of quadratic differentials on $\mathbb{C}P^1$
![QR code for arXiv:2009.03797 [math.DS]](http://oss.arxitics.com/images/favicon.svg)