On the Hausdorff dimension of Julia sets of some real polynomials
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- by Genadi Levin and Michel Zinsmeister PDF
- Proc. Amer. Math. Soc. 141 (2013), 3565-3572 Request permission
Abstract:
We show that the supremum for $c$ real of the Hausdorff dimension of the Julia set of the polynomial $z\mapsto z^d+c$ ($d$ is an even natural number) is greater than $2d/(d+1)$.References
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Additional Information
- Genadi Levin
- Affiliation: Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
- Michel Zinsmeister
- Affiliation: MAPMO, Université d’Orléans, BP 6759, 45067 Orléans Cedex 2, France
- Received by editor(s): November 23, 2010
- Received by editor(s) in revised form: October 18, 2011, and January 4, 2012
- Published electronically: July 1, 2013
- Additional Notes: The authors were supported in part by the IMPAN-BC European Community Centre of Excellence and by the Marie Curie European network CODY
- Communicated by: Mario Bonk
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3565-3572
- MSC (2010): Primary 37F10
- DOI: https://doi.org/10.1090/S0002-9939-2013-11660-6
- MathSciNet review: 3080178