Escaping geodesics in Riemannian surfaces with variable negative curvature (Q1721969)

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scientific article; zbMATH DE number 7021559
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Escaping geodesics in Riemannian surfaces with variable negative curvature
scientific article; zbMATH DE number 7021559

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    Escaping geodesics in Riemannian surfaces with variable negative curvature (English)
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    13 February 2019
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    The authors bound from below the visual dimension of geodesics which escape through ends of a noncompact orientable complete surface with pinched negative curvature: If the surface has finite area, then there are countably many; if the surface is transient, the escaping directions have full harmonic measure; if the surface is recurrent with finite area, the escaping directions have zero harmonic measure, but visual dimension at least 1.
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    Riemannian surface
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    pinching negative curvature
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    escaping geodesics
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    end
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    Gromov hyperbolic space
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