05-409 Guido Gentile

Resummation of perturbation series and reducibility for Bryuno skew-product flows (658K, postscript) Dec 1, 05

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Abstract. We consider skew-product systems on ${\bf T}^d \times {\rm SL}(2,{\bf R})$ 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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