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Resummation of Perturbation Series and Reducibility for Bryuno Skew-Product Flows

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Abstract

We consider skew-product systems on 핥d ×l 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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  1. Dipartimento di Matematica, Università di Roma Tre, Roma, I-00146, Italy

    Guido Gentile

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  1. Guido Gentile
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Gentile, G. Resummation of Perturbation Series and Reducibility for Bryuno Skew-Product Flows. J Stat Phys 125, 317–357 (2006). https://doi.org/10.1007/s10955-006-9127-6

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  • DOI: https://doi.org/10.1007/s10955-006-9127-6

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