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

Pierre Berger, Nicolaz Gourmelon, Mathieu Helfter

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