Back to Search
Start Over
Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition.
- Source :
- Proceedings of the American Mathematical Society; Jul2021, Vol. 149 Issue 7, p2999-3012, 14p
- Publication Year :
- 2021
-
Abstract
- We prove a reducibility result for sl(2,R) quasi-periodic cocycles close to a constant elliptic matrix in ultra-differentiable classes, under an adapted arithmetic condition which extends the Brjuno-Rüssmann condition in the analytic case. The proof is based on an elementary property of the fibered rotation number and deals with ultra-differentiable functions with a weighted Fourier norm. We also show that a weaker arithmetic condition is necessary for reducibility, and that it can be compared to a sufficient arithmetic condition. [ABSTRACT FROM AUTHOR]
- Subjects :
- ARITHMETIC
COCYCLES
ROTATIONAL motion
EVIDENCE
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 149
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 150284294
- Full Text :
- https://doi.org/10.1090/proc/15433