most citedOn C1-robust transitivity of volume-preserving flows

4 citations · 5 across the 3 of their papers we have counts for

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math.DS2008

Contributions to the Geometric and Ergodic Theory of Conservative Flows

Mario Bessa, Jorge Rocha

We prove the following dichotomy for vector fields in a C1-residual subset of volume-preserving flows: for Lebesgue almost every point all Lyapunov exponents equal to zero or its o…

math.DS2007★ 4 cited

On C1-robust transitivity of volume-preserving flows

M. Bessa, J. Rocha

We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincare flow associated to it adm…

math.DS2007★ 1 cited

Denseness of ergodicity for a class of partially hyperbolic volume-preserving flows

M. Bessa, J. Rocha

This paper has been withdrawn by the authors due to a mistake in one of the proofs