Hyperbolicity for one-frequency analytic quasi-periodic (Hermitian)-symplectic cocycles
Abstract
We demonstrate the existence of an open dense subset within the class of real analytic one-frequency quasi-periodic (4,R)-cocycles, characterized by either the distinctness of all their Lyapunov exponents or the non-zero nature of all their accelerations, which partially answers an open problem raised by A. Avila.
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