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math.DS2023
Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
Dinis Amaro, Mario Bessa, Helder Vilarinho
In the present paper we prove that densely, with respect to an -like topology, the Lyapunov exponents associated to linear continuous-time cocycles $Φ:\mathbb{R}\times M\to \t…
math.DS2023
Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations
Dinis Amaro, Mario Bessa, Helder Vilarinho
Given an ergodic flow defined on a probability space we study a family of continuous-time kinetic linear cocycles associated to the solutions of the…