2 papers
math.DS2014
Livšic Theorem for Banach Rings
Genady Ya. Grabarnik, Misha Guysinsky
We prove the Livšic Theorem for Hölder continuous cocycles with values in Banach rings. We consider a transitive homeomorphism that satisfies the Anosov Closing Lemma,…
math.DS2008
Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus
Andrey Gogolev, Misha Guysinsky
We consider two C^2 Anosov diffeomorphisms in a C^1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C^1+ conj…