3 citations · 3 across the 3 of their papers we have counts for
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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…
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…
Counterexamples in nonpositive curvature
Yves Coudene, Barbara Schapira
We give examples of rank one compact surfaces on which there exist recurrent geodesics that cannot be shadowed by periodic geodesics. We build rank one compact surfaces such that e…
Generic measures for hyperbolic flows on non compact spaces
Yves Coudene, Barbara Schapira
We consider the geodesic flow on a complete connected negatively curved manifold. We show that the set of invariant borel probability measures contains a dense -subset consist…