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 st...
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2004
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v30_n2_p413_Cabrelli http://hdl.handle.net/20.500.12110/paper_01471937_v30_n2_p413_Cabrelli |
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| Sumario: | 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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