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- Centre National de la Recherche ScientifiqueFR105 papers
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4 papers · 2 filters
Rigidity of critical circle maps
Pablo Guarino, Marco Martens, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism.…
Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces
Lucas Backes, Mauricio Poletti
We prove that, for semi-invertible continuous cocycles, continuity of Lyapunov exponents is equivalent to continuity, in measure, of Oseledets subspaces.
-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
Karina Marin
We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, and satisfying certain pinch…
A Note on the Continuity of Oseledets Subspaces for Fiber-Bunched Cocycles
Lucas Backes
We prove that restricted to the subset of fiber-bunched elements of the space of -valued cocycles Oseledets subspaces vary continuously, in measure, with respect…