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20182025
most citedHölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps

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math.DS2024

Measures of maximal entropy for non-uniformly hyperbolic maps

Yuri Lima, Davi Obata, Mauricio Poletti

For maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an ergodic adapted hyperbolic measure carries at most one adapted hyperbol…

math.DS2024

Homoclinic classes of geodesic flows on rank 1 manifolds

Yuri Lima, Mauricio Poletti

Given a flow with positive speed on a closed smooth Riemannian manifold, we code two homoclinically related -invariant probabilities by an irreducible countable to…