The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps
classification
🧮 math.DS
keywords
dimensionhausdorffmapsmcmullenbasinboundaryimmediateinfinity
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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.
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