A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies

Details A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies

2010-01-18

arxiv.org/abs/1001.2878v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

We develop a new KAM scheme that applies to SL(2,R) cocycles with one frequency, irrespective of any Diophantine condition on the base dynamics. It gives a generalization of Dinaburg-Sinai's Theorem to arbitrary frequencies: under a closeness to constant assumption, the non-Abelian part of the classical reducibility problem can always be solved for a positive measure set of parameters.

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