2 papers
math.PR2026
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.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 -ations and -actions on the -dimensional torus , we characterize their unique ergodicity and establish a theorem of Weyl…