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math.DS2026
Periodic data rigidity for cocycles and hyperbolic automorphisms
Boris Kalinin, Victoria Sadovskaya
We study cohomology of Holder continuous linear cocycles over a hyperbolic dynamical system and regularity of conjugacy between Anosov systems. For cocycles and with conjug…
math.DS2026
Rigidity of strong and weak foliations
Boris Kalinin, Victoria Sadovskaya
We consider a perturbation of a hyperbolic toral automorphism . We study rigidity related to exceptional properties of the strong and weak stable foliations for . If the…
math.DS2024
Global smooth rigidity for toral automorphisms
Boris Kalinin, Victoria Sadovskaya, Zhenqi Wang
We study regularity of a conjugacy between a hyperbolic or partially hyperbolic toral automorphism and a diffeomorphism of the torus. For a very weakly irreducib…