Mathieu Helfter

collaborators

3 papers

math.DS2026

Jet rigidity of Mather's $β$ -function and complexified KAM curves holomorphic in potential for analytic standard maps

Mathieu Helfter

Mather's $β$ -function associates with each rotation number the least average action carried by an orbit of a twist map. For analytic standard maps in the KAM regime, we prove the f…

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…

Jet rigidity of Mather's β-function and complexified KAM curves holomorphic in potential for analytic standard maps

Infinite Dimensional Multifractal Analysis of the Wiener measure

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

Jet rigidity of Mather's $β$ -function and complexified KAM curves holomorphic in potential for analytic standard maps