Translation invariant Julia sets
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- by David Boyd PDF
- Proc. Amer. Math. Soc. 128 (2000), 803-812 Request permission
Abstract:
We show that if the Julia set $J(f)$ of a rational function $f$ is invariant under translation by one and infinity is a periodic or preperiodic point for $f$, then $J(f)$ must either be a line or the Riemann sphere.References
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Additional Information
- David Boyd
- Email: boyd@math.uiuc.edu, boyd@math.purdue.edu
- Received by editor(s): November 10, 1997
- Received by editor(s) in revised form: April 27, 1998
- Published electronically: July 6, 1999
- Additional Notes: Research supported by a Department of Education GAANN fellowship and by the Research Board of the University of Illinois at Urbana-Champaign.
- Communicated by: Albert Baernstein II
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 803-812
- MSC (1991): Primary 30D05
- DOI: https://doi.org/10.1090/S0002-9939-99-05042-X
- MathSciNet review: 1625697