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- W3100828833 abstract "Devaney and Krych showed that for $0<lambda<1/e$ the Julia set of $lambda e^z$ consists of pairwise disjoint curves, called hairs, which connect finite points, called the endpoints of the hairs, with $infty$. McMullen showed that the Julia set has Hausdorff dimension $2$ and Karpi'nska showed that the set of hairs without endpoints has Hausdorff dimension $1$. We study for which gauge functions the Hausdorff measure of the set of hairs without endpoints is finite." @default.
- W3100828833 created "2020-11-23" @default.
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- W3100828833 date "2015-07-30" @default.
- W3100828833 modified "2023-10-16" @default.
- W3100828833 title "Hausdorff measure of hairs without endpoints in the exponential family" @default.
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- W3100828833 doi "https://doi.org/10.1007/s00209-015-1514-8" @default.
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