Bryuno斜积流扰动级数的恢复与约化
Resummation of perturbation series and reducibility for Bryuno skew-product flows
摘要：
我们考虑T^d x SL（2，R）上的斜积系统Bryuno基流接近常数系数，取决于一个参数，在任何维度d，我们证明了约化的参数值的一个大的措施集。证明是基于共轭形式幂级数的再正规化过程，并使用了量子场论中的重整化群技术。
英文摘要：
We consider skew-product systems on T^d 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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