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arXiv · 1909.09187

Hausdorff dimension of non-conical limit sets

Michael Kapovich·Beibei Liu
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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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Michael Kapovich, Beibei Liu. 2019-09-19. Hausdorff dimension of non-conical limit sets. https://arxiv.org/abs/1909.09187

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