Hausdorff dimension of non-conical limit sets
Open Access Publications from the University of California

## Hausdorff dimension of non-conical limit sets

• Author(s): Kapovich, Michael
• Liu, Beibei
• et al.
Abstract

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.

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