Rigidity of reducibility of Gevrey quasi-periodic cocycles on $U(n)$
Rigidity of reducibility of Gevrey quasi-periodic cocycles on $U(n)$
We consider the reducibility problem of cocycles (α,A) on T d × U(n) in Gevrey classes, where α is a Diophantine vector. We prove that, if a Gevrey cocycle is conjugated to a constant cocycle (α,C) by a suitable measurable conjugacy (0,B), then for almost all C it can be …