The linear escape limit set

Christopher J. Bishop

doi:10.1090/S0002-9939-03-07095-3

The linear escape limit set

Christopher J. Bishop

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

If G is any Kleinian group, we show that the dimension of the limit set λ is always equal to either the dimension of the bounded geodesics or the dimension of the geodesics that escape to infinity at linear speed.

Original language	English
Pages (from-to)	1385-1388
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-03-07095-3
State	Published - May 2004

Keywords

Convex core
Critical exponent
Hausdorff dimension
Quasi-Fuchsian groups
Quasiconformal deformation

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10.1090/S0002-9939-03-07095-3

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title = "The linear escape limit set",

abstract = "If G is any Kleinian group, we show that the dimension of the limit set λ is always equal to either the dimension of the bounded geodesics or the dimension of the geodesics that escape to infinity at linear speed.",

keywords = "Convex core, Critical exponent, Hausdorff dimension, Quasi-Fuchsian groups, Quasiconformal deformation",

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AB - If G is any Kleinian group, we show that the dimension of the limit set λ is always equal to either the dimension of the bounded geodesics or the dimension of the geodesics that escape to infinity at linear speed.

KW - Convex core

KW - Critical exponent

KW - Hausdorff dimension

KW - Quasi-Fuchsian groups

KW - Quasiconformal deformation

UR - https://www.scopus.com/pages/publications/2142702805

U2 - 10.1090/S0002-9939-03-07095-3

DO - 10.1090/S0002-9939-03-07095-3

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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The linear escape limit set

Abstract

Keywords

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