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most citedWave decay on convex co-compact hyperbolic manifolds

33 citations

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math.DS2009★ 14 cited

The link between the shape of the Aubry-Mather sets and their Lyapunov exponents

Marie-Claude Arnaud

We consider the irrational Aubry-Mather sets of an exact symplectic monotone twist map and explain what is the link between the Lyapunov exponents and the shape of such a set. The…

math.DS2008★ 1 cited

The tiered Aubry set for autonomous Lagrangian functions

Marie-Claude Arnaud

If L is a Tonelli Lagrangian defined on the tangent bundle of a compact and connected manifold whose dimension is at least 2, we associate to L the tiered Aubry set and the tiered…