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math.DS2018
On the genericity of positive exponents of conservative skew products with two-dimensional fibers
Davi Obata, Mauricio Poletti
In this paper we study the existence of positive Lyapunov exponents for three different types of skew products, whose fibers are compact Riemannian surfaces and the action on the f…
math.DS2018
A Livšic theorem for matrix cocycles over non-uniformly hyperbolic systems
Lucas Backes, Mauricio Poletti
We prove a Livšic-type theorem for Hölder continuous and matrix-valued cocycles over non-uniformly hyperbolic systems. More precisely, we prove that whenever is a non-unifo…