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- W2257242303 abstract "We consider the reducibility problem of cocycles $(alpha,A)$ on $T^dtimes U(n)$ in Gevrey classes, where $ alpha$ is a Diophantine vector. We prove that, if a Gevrey cocycle is conjugated to a constant cocycle $(alpha,C)$ by a suitable measurable conjugacy $(0,B)$, then for almost all $C$ it can be conjugated to $(alpha,C)$ in the same Gevrey class, provided that $A$ is sufficiently close to a constant. If $B$ is continuous we obtain it is Gevrey smooth. We consider as well the global problem of reducibility in Gevrey classes when $d=1$." @default.
- W2257242303 created "2016-06-24" @default.
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- W2257242303 date "2013-07-10" @default.
- W2257242303 modified "2023-09-23" @default.
- W2257242303 title "Rigidity of the Reducibility of Gevrey Quasi-periodic Cocycles on U(n)" @default.
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- W2257242303 doi "https://doi.org/10.48550/arxiv.1307.2954" @default.
- W2257242303 hasPublicationYear "2013" @default.
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