Shilei Fan

activity

20132026

Q_{p}

6 citations · 17 across the 18 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

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.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…

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

Bohr chaoticity of topological dynamical systems

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