Katsuhiko MATSUZAKI

Hausdorff dimension of the limit sets of infinitely generated Kleinian groups

Abstract

In this paper, we investigate the Hausdorff dimension of the accumulated point set by the orbit of a discrete subgroup of hyperbolic isometries, and obtain certain conditions for infinitely generated groups when the Hausdorff dimension is strictly less than the dimension of the sphere at infinity of the hyperbolic space.

submission: July 5, 1997

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