Ubiquity and a general logarithm law for geodesics

zbMath1230.11089arXiv0707.1225MaRDI QIDQ3010834

Sanju L. Velani, Victor V. Beresnevich

Publication date: 27 June 2011

Full work available at URL: https://arxiv.org/abs/0707.1225

zbMATH Keywords

Diophantine approximationHausdorff measureKleinian groupsLebesgue measurecusp excursions

Mathematics Subject Classification ID

Fractals (28A80) Metric theory (11J83) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Diophantine approximation in probabilistic number theory (11K60)

Related Items (11)

Hausdorff measure of sets of Dirichlet non-improvable affine forms ⋮ The metrical theory of simultaneously small linear forms ⋮ A problem in non-linear Diophantine approximation ⋮ Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions ⋮ The Duffin-Schaeffer conjecture with extra divergence ⋮ Metrical Theory for Small Linear Forms and Applications to Interference Alignment ⋮ THE METRIC THEORY OF MIXED TYPE LINEAR FORMS ⋮ Long hitting time for translation flows and L-shaped billiards ⋮ Spiraling spectra of geodesic lines in negatively curved manifolds ⋮ Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points ⋮ Rational points near manifolds and metric Diophantine approximation

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