Mathieu Helfter

activity

20242026

collaborators

4 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.FA2025

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

Mathieu Helfter

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

math.DS2025

Scales

Mathieu Helfter

We introduce the notion of scale to generalize and compare different invariants of metric spaces and their measures. Several versions of scales are introduced such as Hausdorff, pa…

math.DS2024

Every diffeomorphism is a total renormalization of a close to identity map

Pierre Berger, Nicolaz Gourmelon, Mathieu Helfter

For any $1 \leq r \leq \infty$ , we show that every diffeomorphism of a manifold of the form $R / Z \times M$ is a total renormalization of a $C^{r}$ -close to identity map…