Expanding property and statistical laws for $p$-adic subhyperbolic rational maps

Shilei Fan, Lingmin Liao, Hongming Nie +1

Let $K$ be a finite extension of the field ${\mathbb{Q}}_p$ of $p$-adic numbers. A rational map $\varphi \in K(z)$ of degree at least $2$ is subhyperbolic if each critical point in the $\ma…