The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old
From MaRDI portal
Publication:4837840
DOI10.1112/plms/s3-71.1.197zbMath0821.58026OpenAlexW1966872919MaRDI QIDQ4837840
Bernd O. Stratmann, Sanju L. Velani
Publication date: 19 September 1995
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-71.1.197
Entropy and other invariants (28D20) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)
Related Items (34)
Intrinsic Diophantine approximation on quadric hypersurfaces ⋮ Effective equidistribution of circles in the limit sets of Kleinian groups ⋮ Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Skinning measures in negative curvature and equidistribution of equidistant submanifolds ⋮ Limit points badly approximable by horoballs ⋮ Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach ⋮ Jarník-type inequalities ⋮ Hausdorff dimension and Kleinian groups ⋮ Refined horoball counting and conformal measure for Kleinian group actions ⋮ Rational approximation on spheres ⋮ A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra ⋮ Exact approximation order and well-distributed sets ⋮ Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces ⋮ Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ On interpreting Patterson–Sullivan measures of geometrically finite groups as Hausdorff and packing measures ⋮ Geometrically finite groups, Khintchine-type theorems and Hausdorff dimension ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ A Bowen type rigidity theorem for non-cocompact hyperbolic groups ⋮ Shadow Lemma and nondivergence of the horospheres of a geometrically finite manifold. ⋮ Constructing restricted Patterson measures for geometrically infinite Kleinian groups ⋮ Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points ⋮ Extreme value distributions for one-parameter actions on homogeneous spaces ⋮ Measures and dimensions in conformal dynamics ⋮ Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials ⋮ Regularity of Kleinian limit sets and Patterson-Sullivan measures ⋮ Hausdorff dimension of boundaries of relatively hyperbolic groups ⋮ A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings ⋮ Logarithm laws and shrinking target properties ⋮ The Assouad spectrum of Kleinian limit sets and patterson-Sullivan measure ⋮ Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems ⋮ Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps ⋮ A note on geometric upper bounds for the exponent of convergence of convex cocompact Kleinian groups
This page was built for publication: The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old
