Kolmogorov Complexity and Hausdorff Dimension
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منابع مشابه
Constructive Dimension and Hausdorff Dimension: The Case of Exact Dimension
The present paper generalises results by Lutz and Ryabko. We prove a martingale characterisation of exact Hausdorff dimension. On this base we introduce the notion of exact constructive dimension of (sets of) infinite strings. Furthermore, we generalise Ryabko’s result on the Hausdorff dimension of the set of strings having asymptotic Kolmogorov complexity ≤ α to the case of exact dimension. Th...
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تاریخ انتشار 1989