Shilei Fan

activity

20172021

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

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

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.PR2019

Stationary determinantal processes: $ψ$ -mixing property and $L^{q}$ -dimensions

Shilei Fan, Lingmin Liao, Yanqi Qiu

The results of this paper are 3-folded. Firstly, for any stationary determinantal process on the integer lattice, induced by strictly positive and strictly contractive involution k…

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.

math.PR2017★ 2 cited

Equivalence of Palm measures for determinantal point processes governed by Bergman kernels

Alexander I. Bufetov, Shilei Fan, Yanqi Qiu

For a determinantal point process induced by the reproducing kernel of the weighted Bergman space $A^{2} (U, ω)$ over a domain $U \subset C^{d}$ , we establish the mutual absolu…

Bohr chaoticity of topological dynamical systems

Stationary determinantal processes: ψ-mixing property and Lq-dimensions

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

Equivalence of Palm measures for determinantal point processes governed by Bergman kernels

Stationary determinantal processes: $ψ$ -mixing property and $L^{q}$ -dimensions

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