Hausdorff dimension of diophantine geodesics in negatively curved manifolds (Q2744707)

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scientific article; zbMATH DE number 1653366
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Hausdorff dimension of diophantine geodesics in negatively curved manifolds
scientific article; zbMATH DE number 1653366

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    Hausdorff dimension of diophantine geodesics in negatively curved manifolds (English)
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    7 October 2001
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    negatively curved Riemannian manifold
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    geodesic ray
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    Hausdorff dimension
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    The authors provide a sharp estimate for the Hausdorff dimension of the set of geodesic rays, starting from any fixed point \(p\) in a closed pinched negatively curved Riemannian manifold, that are coming back exponentially close to \(p\) infinitely often.
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