A. Fan

activity

20022025

most citedOscillating Sequences, Minimal Mean Attractability and Minimal Mean-Lyapunov-Stability

27 citations · 133 across the 42 of their papers we have counts for

collaborators

45 papers

math.CA2025

Representation of quasi-periodic functions and Hausdorff-Young inequalities for Besicovitch almost periodic functions

Aihua Fan, Kai Jiang, Pingwen Zhang

For a class of $R^{d}$ -ations and $Z^{d}$ -actions on the $n$ -dimensional torus $T^{n}$ , we characterize their unique ergodicity and establish a theorem of Weyl…

math.PR2025

Infinite Dimensional Multifractal Analysis of the Wiener measure

Aihua Fan, Mathieu Helfter

We present a multifractal formalism for measures on infinite dimensional metric spaces, in terms of scales instead of dimensions in the classical multifractal analysis. We prove a…

math.FA2023

Old and new results on the Furstenberg sets

Aihua Fan, Hervé Queffélec, Martine Quffélec

This paper is a complement to our previous paper [21]. It surveys the works on the Furstenberg set $S = {2^{m} 3^{n} : n \geq 0, m \geq 0}$ and its random version $T$ . We also present so…

math.DS2022

Multifractal Analysis of generalized Thue-Morse trigonometric polynomials

Aihua Fan, Jörg Schmeling, Weixiao Shen

We consider the generalized Thue-Morse sequences $(t_{n}^{(c)})_{n \geq 0}$ ( $c \in [0, 1)$ being a parameter) defined by $t_{n}^{(c)} = e^{2 π i c s_{2} (n)}$ , where $s_{2} (n)$ is the sum of di…

math.DS2022

A topological version of Furstenberg-Kesten theorem

Aihua Fan, Meng Wu

Let $A (x) := (A_{i, j} (x))$ be a continuous function defined on some subshift of $Ω := {0, 1, \dots, m - 1}^{N}$ , taking $d \times d$ non-negative matrices as values and let $ν…

math.FA2021★ 2 cited

The Furstenberg set and its random version

Aihua Fan, Hervé Queffélec, Martine Queffélec

We study some number-theoretic, ergodic and harmonic analysis properties of the Furstenberg set of integers $S = {2^{m} 3^{n}}$ and compare them to those of its random analogue $T$ .…