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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The linear escape limit set
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by Christopher J. Bishop PDF
Proc. Amer. Math. Soc. 132 (2004), 1385-1388 Request permission

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.
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Additional 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