Resummation of perturbation series and reducibility for Bryuno skew-product flows
Abstract
We consider skew-product systems on Td x SL(2,R) for Bryuno base flows close to constant coefficients, depending on a parameter, in any dimension d, and we prove reducibility for a large measure set of values of the parameter. The proof is based on a resummation procedure of the formal power series for the conjugation, and uses techniques of renormalisation group in quantum field theory.
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