Transcendental Julia sets with fractional packing dimension
2021 ◽
Vol 25
(10)
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pp. 200-252
Keyword(s):
We construct transcendental entire functions whose Julia sets have packing dimension in ( 1 , 2 ) (1,2) . These are the first examples where the computed packing dimension is not 1 1 or 2 2 . Our analysis will allow us further show that the set of packing dimensions attained is dense in the interval ( 1 , 2 ) (1,2) , and that the Hausdorff dimension of the Julia sets can be made arbitrarily close to the corresponding packing dimension.
1997 ◽
Vol 122
(2)
◽
pp. 223-244
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1991 ◽
Vol 11
(4)
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pp. 769-777
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Keyword(s):
Keyword(s):
2011 ◽
Vol 33
(1)
◽
pp. 284-302
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1996 ◽
Vol 119
(3)
◽
pp. 513-536
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Keyword(s):
2019 ◽
Vol 39
(9)
◽
pp. 5319-5337
1987 ◽
Vol 300
(1)
◽
pp. 329-329
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Keyword(s):
2000 ◽
Vol 61
(2)
◽
pp. 471-488
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2012 ◽
Vol 33
(4)
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pp. 1146-1161
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