The Hausdorff Dimension of Hilbert's Coordinate Functions
نویسنده
چکیده
We characterize the coordinate functions of Hilbert's space-lling curve using a directed-graph iterated function system and use this to analyze their fractal properties. In particular, we show that both coordinate functions have graphs of Hausdorr dimension 3 2 and level sets of dimension 1 2 .
منابع مشابه
The Hausdorff Dimension of Hilbert ' S
We characterize the coordinate functions of Hilbert's spacelling curve using a directed-graph iterated function system and use this to analyze their fractal properties. In particular, we show that both coordinate functions have graphs of Hausdor dimension 3 2 and level sets of dimension 1 2 .
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تاریخ انتشار 1998