Hongming Nie

collaborators

2 papers

math.DS2025

Zeta function and entropy for non-archimedean subhyperbolic dynamics

Liang-Chung Hsia, Hongming Nie, Chenxi Wu

Let $K$ be a complete non-archimedean field of characteristic $0$ equipped with a discrete valuation. We establish the rationality of the Artin-Mazur zeta function on the Julia set…

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…

Zeta function and entropy for non-archimedean subhyperbolic dynamics

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

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