Shilei Fan

activity

20132026

Q_{p}

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

collaborators

Showing 2015Show all

5 papers · 1 filter

math.CA2015★ 6 cited

Fuglede's conjecture holds in $Q_{p}$

Aihua Fan, Shilei Fan, Lingmin Liao +1

Fuglede's conjecture in $Q_{p}$ is proved. That is to say, a Borel set of positive and finite Haar measure in $Q_{p}$ is a spectral set if and only if it tiles $\math…

math.DS2015

Dynamics of Chebyshev polynomials on $Z_{2}$

Shilei Fan, Lingmin Liao

The dynamical structure of Chebyshev polynomials on $Z_{2}$ , the ring of $2$ -adic integers, is fully described by showing all its minimal subsystems and their attracting bas…

math.NT2015★ 2 cited

Bounded tiles in $Q_{p}$ are compact open sets

Aihua Fan, Shilei Fan

Any bounded tile of the field $Q_{p}$ of $p$ -adic numbers is a compact open set up to a zero Haar measure set. In this note, we give a simple and direct proof of this fact.

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.FA2015★ 2 cited

Compact Open Spectral Sets In $Q_{p}$

Aihua Fan, Shilei Fan, Ruxi Shi

In this article, we prove that a compact open set in the field $Q_{p}$ of $p$ -adic numbers is a spectral set if and only if it tiles $Q_{p}$ by translation, and also…

Fuglede's conjecture holds in Qp​

Dynamics of Chebyshev polynomials on Z2​

Bounded tiles in Qp​ are compact open sets

Minimality of p-adic rational maps with good reduction

Compact Open Spectral Sets In Qp​

Fuglede's conjecture holds in $Q_{p}$

Dynamics of Chebyshev polynomials on $Z_{2}$

Bounded tiles in $Q_{p}$ are compact open sets

Compact Open Spectral Sets In $Q_{p}$