Mathieu Helfter

Mathieu Helfter

Postdoctoral Researcher, Kaloshin Group

Institute of Science and Technology Austria (ISTA)

About me

I am a post-doctoral researcher at ITSA with Vadim Kaloshin since October 2024. Beforehand I completed my Phd thesis on "Complexity and bifurcation of the identity" under the supervision of Pierre Berger at IMJ-PRG, Sorbonne Université and CNRS. I am interested various subjects of dynamical systems and probabilities, most importantly (multi) fractals in infinite dimensions, spectral rigidity of standard and billard maps, ergodicity, renormalization of smooth diffeomorphism, geometric measure theory.

Works in preparation

Spectral rigidity of generalized standard maps.
Infinite dimensional multifractal analysis of product measures.

(Pre)-publications

4. Infinite Dimensional Multifractal Analysis of the Wiener measure
with A.H. Fan.
submitted., 2025.
arXiv
3. Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces
Journal of Fractal geometry, 2025.
DOI arXiv
2. Scales
Mathematische Zeitschrift, 2025.
DOI arXiv
1. Every diffeomorphism is a total renormalization of a close to identity map
with P. Berger and N. Gourmelon.
Inventiones mathematicae, 2024.
DOI arXiv

Other scientific content

Près d’une dynamique stagnante, avec le temps et une loupe, tout peut arriver
Scientific actually, in french, for "Lettres de l'INSMI" with Pierre Berger and Nicolas Gourmelon on our article "Every diffeomorphism is a total renormalization of a close to identity" Link

Contact

Email: Mathieu.Helfter ' at ' ist.ac.at

Address:
Institute of Science and Technology Austria (ISTA)
Am Campus 1
3400 Klosterneuburg, Austria