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math.DS2013
A Herman-Avila-Bochi formula for higher dimensional pseudo-unitary and hermitian-symplectic cocycles
Christian Sadel
A Herman-Avila-Bochi type formula is obtained for the average sum of the top d Lyapunov exponents over a one-parameter family of G-cocycles, where G is the group that leaves a cert…
math.DS2013★ 71 cited
Complex one-frequency cocycles
Artur Avila, Svetlana Jitomirskaya, Christian Sadel
We show that on a dense open set of analytic one-frequency complex valued cocycles in arbitrary dimension Oseledets filtration is either dominated or trivial. The underlying mechan…