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Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition

By Abed Bounemoura and others at
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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-R{\"u}ssmann condition in the analytic case. The proof is based on an elementary property of the fibered rotation number and deals with ultra-differentiable functions... Show more
December 13, 2019
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Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition
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