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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Not all Julia sets are quasi-self-similar


Author: Pentti Järvi
Journal: Proc. Amer. Math. Soc. 125 (1997), 835-837
MSC (1991): Primary 30D05, 58F08
MathSciNet review: 1363426
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Abstract: We show that there exist rational functions, whose Julia set fails to be quasi-self-similar.


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Additional Information

Pentti Järvi
Affiliation: Department of Mathematics, University of Helsinki, P.O. Box 4 (Hallituskatu 15), FIN-00014 Helsinki, Finland

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03706-4
PII: S 0002-9939(97)03706-4
Keywords: Iteration, rational function, Julia set, quasi-self-similar set, porous set.
Received by editor(s): September 19, 1995
Communicated by: Albert Baernstein II
Article copyright: © Copyright 1997 American Mathematical Society