EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS
نویسندگان
چکیده
منابع مشابه
HAUSDORFF MEASURE OF p-CANTOR SETS
In this paper we analyze Cantor type sets constructed by the removal of open intervals whose lengths are the terms of the p-sequence, {k−p}∞k=1. We prove that these Cantor sets are s-sets, by providing sharp estimates of their Hausdorff measure and dimension. Sets of similar structure arise when studying the set of extremal points of the boundaries of the so-called random stable zonotopes.
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ژورنال
عنوان ژورنال: Fractals
سال: 2013
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x13500163