On a generalized entropy's formula (Q752067)
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scientific article; zbMATH DE number 4177181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalized entropy's formula |
scientific article; zbMATH DE number 4177181 |
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On a generalized entropy's formula (English)
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1990
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The authors consider measures \(\mu\) being generalized Rademacher-Riesz products. Using the properties of such products and using Frostman's lemma, they find the Hausdorff dimension of a Borel subset of [0,1] of positive \(\mu\)-measure. Thereby they generalize \textit{H. G. Egglestone}'s result [Q. J. Math., Oxf. II. Ser. 20, 31-36 (1949; Zbl 0031.20801)].
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Eggleston-type formula
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positive Rademacher-Riesz product measure
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uniform distribution mod 1
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normal numbers
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Hausdorff dimension
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Borel subset
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