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research
On the Hausdorff dimension of Julia sets of some real polynomials
Authors
Genadi Levin
Michel Zinsmeister
Publication date
24 January 2012
Publisher
View
on
arXiv
Abstract
We show that the supremum for
c
c
c
real of the Hausdorff dimension of the Julia set of the polynomial
z
ā¦
z
d
+
c
z\mapsto z^d+c
z
ā¦
z
d
+
c
(
d
d
d
is an even natural number) is greater than
2
d
/
(
d
+
1
)
2d/(d+1)
2
d
/
(
d
+
1
)
.Comment: 10 page, 4 figure
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HAL-Polytechnique
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oai:HAL:hal-00662708v1
Last time updated on 12/11/2016
HAL Descartes
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Last time updated on 14/04/2021