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Prevalence of non-Lipschitz Anosov foliations

Prevalence of non-Lipschitz Anosov foliations

We give sharp regularity results for the invariant subbundles of hyperbolic dynamical systems in terms of contraction and expansion rates and prove optimality in a strong sense: we construct open dense sets of codimension one systems where this regularity is not exceeded. Furthermore, we exhibit open dense sets of symplectic, …