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Not all Julia sets are quasi-self-similar
Author(s):
Pentti
Järvi
Journal:
Proc. Amer. Math. Soc.
125
(1997),
835-837.
MSC (1991):
Primary 30D05, 58F08
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Abstract:
We show that there exist rational functions, whose Julia set fails to be quasi-self-similar.
References:
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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:
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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