Mathieu Helfter

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20242026

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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…