Growth of groups and diffeomorphisms of the interval

Abstract

We prove that the so called Grigorchuk-Maki group of intermadiate growth can be seen as a group of $C^1$ diffeomorphisms of the interval. On the other hand, we prove that every group of $C^{1+\alpha }$ diffeomorphisms of the interval having subexponential growth is almost nilpotent.

25 pages

References in corpus (2)

• Sur la dynamique unidimensionnelle en régularité intermédiaire
• On uniform exponential growth for solvable groups