On centralizers of interval diffeomorphisms in critical (intermediate) regularity

TL;DR

This paper extends existing results on the rigidity of centralizers and group actions on the interval to the critical and intermediate regularity cases, broadening the understanding of these dynamical systems.

Contribution

It introduces new results on the rigidity of centralizers and group actions specifically in the critical and intermediate regularity settings.

Findings

Extended rigidity results to critical regularity cases.

Established new properties of centralizers in intermediate regularity.

Broadened the scope of previous rigidity theorems.

Abstract

We extend to the critical (intermediate) regularity several results concerning rigidity for centralizers and group actions on the interval.