Reducibility Results for Quasiperiodic Cocycles With Liouvillean Frequency

  • Qi ZhouEmail author
  • Jing Wang


We study the reducibility problems for quasiperiodic cocycles in linear Lie groups with one frequency, irrespective of any Diophantine condition on the base dynamics. Under a non-degeneracy condition, a positive measure diagonalizable result is obtained for quasiperiodic \({GL(d,\mathbb R)}\) cocycles which are close to constants. It generalizes previous works by Avila–Fayad–Krikorian and Hou–You, and our approach is based on periodic approximation and KAM schemes.


Reducibility Quasi-periodic KAM Periodic approximation 


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsNanjing UniversityNanjingChina

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