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Generic Mañé sets

Published 27 Oct 2014 in math.DS | (1410.7141v6)

Abstract: We prove that $C2$ generic hyperbolic Ma~n\'e sets contain a periodic orbit. In dimesion 2, adding a result with A. Figalli and L. Rifford, we obtain Ma~n\'e's Conjecture for surfaces in the $C2$ topology.

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