zbMATH — the first resource for mathematics

Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics. (English) Zbl 0517.58028

37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry
37A99 Ergodic theory
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)
51M10 Hyperbolic and elliptic geometries (general) and generalizations
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
11K60 Diophantine approximation in probabilistic number theory
30B70 Continued fractions; complex-analytic aspects
53C22 Geodesics in global differential geometry
Full Text: DOI
[1] [R]Rudolf, D. To appear inErgodic Theory and Dynamical Systems, 1982–1983
[2] [AS]Aaronson, J. & Sullivan, D. Preprint Te Aviv University.
[3] [Sc]Schmidt, W., A metrical theorem in diophantine approximation.Canad. J. Math., 12 (1960), 619–631. · Zbl 0097.26205
[4] [Sw]Swan, R., Generators and relations for certain linear groups.Adv. in Math., 6 (1971). 1–77. · Zbl 0221.20060
[5] [S1]Sullivan, D., The density at infinity of a discrete group of hyperbolic isometries.I.H.E.S. Publ. Math., 50 (1979), 171–202. · Zbl 0439.30034
[6] [S1]Sullivan, D., Entropy, Hausdort measures old and new, and limit sets of geometrically finite Kleninian groups. Submitted toActa Math., Feb. 1981.
[7] [T]Thurstron, B.,Geometry and topology of 3-manifolds. Princeton notes, 1978.
[8] [ASc]Schmidt, A. L., Diophantine approximation of complex numbers.Acta Math., 134 (1975), 1–84 · Zbl 0329.10023
[9] [L]LeVeque, W. J., Continued fractions and approximations I and IIIndag. Math., 14 (1952), 526–545.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.