71 citations · 230 across the 21 of their papers we have counts for
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math.DS2016
Singular analytic linear cocycles with negative infinite Lyapunov exponents
Christian Sadel, Disheng Xu
We show that linear analytic cocycles where all Lyapunov exponents are negative infinite are nilpotent. For such one-frequency cocycles we show that they can be analytically conjug…
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…