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 C1 diffeomorphisms of the interval. On the other hand, we prove that every group of C1+α diffeomorphisms of the interval having subexponential growth is almost nilpotent.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.