Shilei Fan

activity

20172024

most citedEquivalence of Palm measures for determinantal point processes governed by Bergman kernels

2 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing math.DSShow all

4 papers · 1 filter

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★ 1 cited

Bohr chaoticity of topological dynamical systems

Aihua Fan, Shilei Fan, Valery Ryzhikov +1

We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which is opposite to the property required by Sarnak's conjectur…

math.DS2017

Rational map ax+1/x on the projective line over $Q_{2}$

Shilei Fan, Lingmin Liao

The dynamical structure of the rational map $a x + 1/ x$ on the projective line over the field Q2 of $2$ -adic numbers, is fully described.

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

p-adic rational maps having empty Fatou set

Bohr chaoticity of topological dynamical systems

Rational map ax+1/x on the projective line over Q2​

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

$p$ -adic rational maps having empty Fatou set

Rational map ax+1/x on the projective line over $Q_{2}$