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math.DS2010
Local rigidity for Anosov automorphisms
Andrey Gogolev, Boris Kalinin, Victoria Sadovskaya
We consider an irreducible Anosov automorphism L of a torus T^d such that no three eigenvalues have the same modulus. We show that L is locally rigid, that is, L is C^1 conjugate t…
math.DS2010
Linear cocycles over hyperbolic systems and criteria of conformality
Boris Kalinin, Victoria Sadovskaya
In this paper we study Holder continuous linear cocycles over transitive Anosov diffeomorphisms. Under various conditions of relative pinching we establish properties including exi…