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arxiv: 1705.08860 · v2 · pith:HHLIAC4Xnew · submitted 2017-05-24 · 🧮 math.DS

Geometric growth for Anosov maps on the 3 torus

classification 🧮 math.DS
keywords anosovgeometricgrowthmapstorusabsolutelyconjugatedcontinuous
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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 $C^1$ conjugated to his linear part.

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