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• W2328055669 abstract "We introduce a renormalization group framework for the studyof quasiperiodic skew flows on Lie groups of real or complex$ntimes n$ matrices, for arbitraryDiophantine frequency vectors in $R^{d}$and dimensions $d,n$.In cases where the Lie algebra component of the vector field is small,it is shown that there exists an analytic manifoldof reducible skew systems, for each Diophantine frequency vector.More general near-linear flows are mapped to this caseby increasing the dimension of the torus.This strategy is applied for the group of unimodular$2times 2$ matrices, where the stable manifoldis identified with the set of skew systems having a fixedfibered rotation number.Our results apply to vector fields of class Cγ,with $gamma$ depending on the number of independent frequencies,and on the Diophantine exponent." @default.
• W2328055669 created "2016-06-24" @default.
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• W2328055669 date "2008-01-01" @default.
• W2328055669 modified "2023-10-13" @default.
• W2328055669 title "Renormalization of diophantine skew flows, with applications to the reducibility problem" @default.
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• W2328055669 doi "https://doi.org/10.3934/dcds.2008.21.477" @default.
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