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- W2000583998 abstract "Let h be the Hausdorff dimension of the limit set of a conformal parabolic iterated function system in dimension d⩾2. In case the system of maps is finite, we provide necessary and sufficient conditions for the h-dimensional Hausdorff measure to be positive and finite and also, assuming the strong open set condition holds, characterize when the h-dimensional packing measure of the limit set is positive and finite. We also prove that the upper ball (box)-counting dimension and the Hausdorff dimension of this limit set coincide. As a byproduct we include a compact analysis of the behaviour of parabolic conformal diffeomorphisms in dimension 2 and separately in any dimension greater than or equal to 3." @default.
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- W2000583998 date "2002-06-01" @default.
- W2000583998 modified "2023-09-27" @default.
- W2000583998 title "Fractal Measures for Parabolic IFS" @default.
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- W2000583998 doi "https://doi.org/10.1006/aima.2001.2049" @default.
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