Geometric growth for Anosov maps on the 3 torus

2017/05/24 by Poletti, Mauricio
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.08860

Abstract

We prove that for Anosov maps of the 3-torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant foliations then f is C¹ conjugated to his linear part.

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