Geometrically infinite Kleinain groups have nonconical limit sets with the cardinality of the continuum. In this paper, we construct a geometrically infinite Fuchsian group such that the Hausdorff dimension of the nonconical limit set equals zero. For finitely generated, geometrically infinite Kleinian groups, we prove that the Hausdorff dimension of the nonconical limit set is positive
A Kleinian group is, by definition, a group of orientation preserving isometries of the 3-dimensiona...
We provide conditions for an infinitely generated Kleinian group to have its exponent of convergence...
We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
We consider the relation between geometrically finite groups and their limit sets in infinite-dimens...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135386/1/jlms0489.pd
We show that a discrete, quasiconformal group preserving Hopf n has the property that its exponent o...
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent ...
In this paper, we study exhaustions, referred to as ρ-restrictions, of arbitrary nonelementary Klein...
The overall aim of this note is to initiate a ‘manifold’ theory for metric Diophantine approximation...
Abstract. Let Γ be a convex co-compact quasi-Fuchsian Kleinian group. We define the distortion funct...
We study the Hausdorff dimension of the Floyd and Bowditch boundaries of a relatively hyperbolic gro...
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian gro...
In this paper we study discrepancy groups (d-groups), that are Kleinian groups whose exponent of con...
A Kleinian group is, by definition, a group of orientation preserving isometries of the 3-dimensiona...
We provide conditions for an infinitely generated Kleinian group to have its exponent of convergence...
We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
We consider the relation between geometrically finite groups and their limit sets in infinite-dimens...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135386/1/jlms0489.pd
We show that a discrete, quasiconformal group preserving Hopf n has the property that its exponent o...
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent ...
In this paper, we study exhaustions, referred to as ρ-restrictions, of arbitrary nonelementary Klein...
The overall aim of this note is to initiate a ‘manifold’ theory for metric Diophantine approximation...
Abstract. Let Γ be a convex co-compact quasi-Fuchsian Kleinian group. We define the distortion funct...
We study the Hausdorff dimension of the Floyd and Bowditch boundaries of a relatively hyperbolic gro...
We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian gro...
In this paper we study discrepancy groups (d-groups), that are Kleinian groups whose exponent of con...
A Kleinian group is, by definition, a group of orientation preserving isometries of the 3-dimensiona...
We provide conditions for an infinitely generated Kleinian group to have its exponent of convergence...
We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are...
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