Yue-Fei Wang

activity

20132024

collaborators

5 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.DS2024

$p$ -adic rational maps having empty Fatou set

Aihua Fan, Shilei Fan, Yahia Mwanis +1

On any finite algebraic extension $K$ of the field $\Q_p$ of $p$ -adic numbers, there exist rational maps $ϕ \in K (z)$ such that dynamical system $(P^{1} (K), ϕ)$ has empty Fa…

math.DS2021

Julia sets and geometrically finite maps over finite extensions of the $p$ -adic field

Shilei Fan, Lingmin Liao, Hongmin Nie +1

Let $K$ be a finite extension of the field $Q_{p}$ of $p$ -adic numbers, and $ϕ \in K (z)$ be a rational map of degree at least $2$ . We prove that the $K$ -Julia set of $ϕ$ is t…

math.DS2015

Minimality of p-adic rational maps with good reduction

Ai-Hua Fan, Shilei Fan, Lingmin Liao +1

A rational map with good reduction in the field $Q_p$ of $p$ -adic numbers defines a $1$ -Lipschitz dynamical system on the projective line $P^{1} (Q_p)$ ov…

math.DS2013

On minimal decomposition of $p$ -adic homographic dynamical systems

Aihua Fan, Shilei Fan, Lingmin Liao +1

A homographic map in the field of $p$ -adic numbers $\mathbb{Q}_p}$ is studied as a dynamical system on $P^{1} (Q_{p})$ , the projective line over $Q_{p}$ . If s…

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

p-adic rational maps having empty Fatou set

Julia sets and geometrically finite maps over finite extensions of the p-adic field

Minimality of p-adic rational maps with good reduction

On minimal decomposition of p-adic homographic dynamical systems

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

$p$ -adic rational maps having empty Fatou set

Julia sets and geometrically finite maps over finite extensions of the $p$ -adic field

On minimal decomposition of $p$ -adic homographic dynamical systems