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math.DS2014
Multiple mixing from weak hyperbolicity by the Hopf argument
Yves Coudène, Boris Hasselblatt, Serge Troubetzkoy
We show that using only weak hyperbolicity (no smoothness, compactness or exponential rates) the Hopf argument produces multiple mixing in an elementary way. While this recovers cl…
math.DS2014★ 3 cited
Generic measures for geodesic flows on nonpositively curved manifolds
Yves Coudene, Barbara Schapira
We study the generic invariant probability measures for the geodesic flow on connected complete nonpositively curved manifolds. Under a mild technical assumption, we prove that erg…