arXiv:1204.1282 Abstract | arXiv Analytics

arXiv:1204.1282 [math.DS]Abstract References Reviews Resources

The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps

Published 2012-04-05Version 1

In this paper, we give a formula of the Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps $f_p(z)=z^Q+p/z^Q$, where $Q\geq 3$ and $p$ is small. This gives a lower bound of the Hausdorff dimension of the Julia sets of McMullen maps in the special cases.

Comments: 2 pages, 5 figures

Categories: math.DS

Subjects: 37F35, 37F10, 37F50

Keywords: hausdorff dimension, mcmullen maps, immediate basin, lower bound, julia sets

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