The linear escape limit set
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- by Christopher J. Bishop
- Proc. Amer. Math. Soc. 132 (2004), 1385-1388
- DOI: https://doi.org/10.1090/S0002-9939-03-07095-3
- Published electronically: December 5, 2003
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Abstract:
If $G$ is any Kleinian group, we show that the dimension of the limit set $\Lambda$ is always equal to either the dimension of the bounded geodesics or the dimension of the geodesics that escape to infinity at linear speed.References
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Bibliographic Information
- Christopher J. Bishop
- Affiliation: Mathematics Department, SUNY at Stony Brook, Stony Brook, New York 11794-3651
- MR Author ID: 37290
- Email: bishop@math.sunysb.edu
- Received by editor(s): May 22, 2002
- Received by editor(s) in revised form: October 30, 2002
- Published electronically: December 5, 2003
- Additional Notes: The author was partially supported by NSF Grant DMS 0103626
- Communicated by: Juha M. Heinonen
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1385-1388
- MSC (2000): Primary 30F35
- DOI: https://doi.org/10.1090/S0002-9939-03-07095-3
- MathSciNet review: 2053343