David regularity of the Yoccoz extension
Abstract
A central problem in the study of critical circle dynamics is understanding the regularity of the so called Yoccoz conjugators—circle homeomorphisms that conjugate critical circle maps with irrational rotation numbers to their corresponding rigid rotations. One can approach this problem from a different angle by studying the regularity of extensions of these maps to the unit disk. Of particular interest is the question of when such a conjugator admits a David extension. Building on the work of Petersen and Zakeri, we classify the David regularity of a specific extension process known as the Yoccoz extension.
Fields of Study & Subjects
Advanced Topics in Algebra
Rings
Modules
and Algebras
Functional Equations Stability Results
Publication details
- Journal / source
- Annales Fennici Mathematici
- Volume
- 51
- Issue
- 2
- Pages
- 423–447
- Publication date
- 15 June 2026
- Language
- EN