Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications

Author:

You Jiangong,Zhou Qi

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference38 articles.

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2. Avila A.: Density of positive Lyapunov exponents for quasiperiodic $${SL(2, \mathbb{R})}$$ S L ( 2 , R ) cocycles in arbitrary dimension. J. Mod. Dyn. 3, 629–634 (2009)

3. Avila, A.: Global theory of one-frequency Schrödinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity. Preprint, http://arxiv.org/abs/0905.3902v1 [math.DS], 2009

4. Avila, A.: Almost reducibility and absolute continuity. Preprint, http://arxiv.org/abs/1006.0704v1 [math.DS], 2010

5. Avila A., Fayad B., Krikorian R.: A KAM scheme for $${{\rm SL}(2,\mathbb{R})}$$ SL ( 2 , R ) cocycles with Liouvillean frequencies. Geom. Funct. Anal. 21, 1001–1019 (2011)

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