Hongming Nie

activity

20222024

collaborators

4 papers

math.DS2024

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 $Q_{p}$ of $p$ -adic numbers. A rational map $ϕ \in K (z)$ of degree at least $2$ is subhyperbolic if each critical point in the $\ma…

math.DS2023

On a metric view of the polynomial shift locus

Yan Mary He, Hongming Nie

We relate generic points in the shift locus $S_{D}$ of degree $D \geq 2$ polynomials to metric graphs. Using thermodynamic metrics on the space of metric graphs, we obtain a…

math.DS2023

Berkovich dynamics of twisted rational maps

Hongming Nie, Shengyuan Zhao

A twisted rational map over a non-archimedean field $K$ is the composition of a rational function over $K$ and a continuous automorphism of $K$ . We explore the dynamics of some twi…

math.DS2022

The basin of infinity of tame polynomials

Jan Kiwi, Hongming Nie

Let $C_{v}$ be a characteristic zero algebraically closed field which is complete with respect to a non-Archimedean absolute value. We provide a necessary and sufficient con…

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

On a metric view of the polynomial shift locus

Berkovich dynamics of twisted rational maps

The basin of infinity of tame polynomials

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