7 citations · 18 across the 8 of their papers we have counts for
4 papers · 1 filter
On horospheric limit sets of Kleinian groups
Kurt Falk, Katsuhiko Matsuzaki
In this paper we partially answer a question of P. Tukia about the size of the difference between the big horospheric limit set and the horospheric limit set of a Kleinian group. W…
The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group
Kurt Falk, Katsuhiko Matsuzaki
In this paper we study the relationship between three numerical invariants associated to a Kleinian group, namely the critical exponent, the Hausdorff dimension of the limit set an…
Checking atomicity of conformal ending measures for Kleinian groups
Kurt Falk, Katsuhiko Matsuzaki, Bernd O Stratmann
In this paper we address questions of continuity and atomicity of conformal ending measures for arbitrary non-elementary Kleinian groups. We give sufficient conditions under which…
Conformal measures associated to ends of hyperbolic n-manifolds
James W. Anderson, Kurt Falk, Pekka Tukia
Let Gamma be a non-elementary Kleinian group acting on the closed n-dimensional unit ball and assume that its Poincare series converges at the exponent alpha. Let M_Gamma be the Ga…