Local connectedness of the Julia set of the family $z^m(z^n-b)$
1998 ◽
Vol 18
(2)
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pp. 457-470
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Keyword(s):
We study the local connectedness of the Julia set of the family $f_b(z)=z^m(z^n-b)$. Assuming that the Julia set is connected and depending on whether $m=1$ or $m>1$, a sufficient condition for the local connectivity of the Julia set is obtained. This complements the known results of Yoccoz–Hubbard–Branner for $m=n=1$.
2006 ◽
Vol 462
(2068)
◽
pp. 1181-1195
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2016 ◽
Vol 37
(6)
◽
pp. 1997-2016
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Keyword(s):
1995 ◽
Vol 05
(03)
◽
pp. 673-699
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Keyword(s):
2014 ◽
Vol 35
(7)
◽
pp. 2171-2197
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Keyword(s):
1984 ◽
Vol 4
(1)
◽
pp. 35-52
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2009 ◽
Vol 30
(6)
◽
pp. 1665-1684
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Keyword(s):