Mathieu Helfter

activity

20222026

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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.FA2025

Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces

Mathieu Helfter

For every couple of Hausdorff functions $ψ$ and $φ$ verifying some mild assumptions, there exists a compact subset $K$ of the Baire space such that the $φ$ -Hausdorff measure an…