16 citations · 87 across the 12 of their papers we have counts for
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math.DS2017★ 14 cited
Livsic theorem for diffeomorphism cocycles
Artur Avila, Alejandro Kocsard, Xiao-Chuan Liu
We prove the so called Livšic theorem for cocycles taking values in the group of $C^{1+β}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypot…
math.DS2017★ 6 cited
Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms
Alejandro Kocsard, Fernanda Pereira-Rodrigues
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that und…