### Abstract

In this paper we investigate the Hausdorff dimension of the limit set of an infinitely generated discrete subgroup of hyperbolic isometries and obtain conditions for the limit set to have full dimension.

Original language | English |
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Pages (from-to) | 123-139 |

Number of pages | 17 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 128 |

Issue number | 1 |

Publication status | Published - 2000 Jan |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups.** / Matsuzaki, Katsuhiko.

Research output: Contribution to journal › Article

*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 128, no. 1, pp. 123-139.

}

TY - JOUR

T1 - The Hausdorff dimension of the limit sets of infinitely generated Kleinian groups

AU - Matsuzaki, Katsuhiko

PY - 2000/1

Y1 - 2000/1

N2 - In this paper we investigate the Hausdorff dimension of the limit set of an infinitely generated discrete subgroup of hyperbolic isometries and obtain conditions for the limit set to have full dimension.

AB - In this paper we investigate the Hausdorff dimension of the limit set of an infinitely generated discrete subgroup of hyperbolic isometries and obtain conditions for the limit set to have full dimension.

UR - http://www.scopus.com/inward/record.url?scp=22844455304&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22844455304&partnerID=8YFLogxK

M3 - Article

VL - 128

SP - 123

EP - 139

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -