On relations between entropy and Hausdorff dimension on measures. (Q1811401)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On relations between entropy and Hausdorff dimension on measures. |
scientific article; zbMATH DE number 1925766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On relations between entropy and Hausdorff dimension on measures. |
scientific article; zbMATH DE number 1925766 |
Statements
On relations between entropy and Hausdorff dimension on measures. (English)
0 references
2002
0 references
The authors characterize probability measures whose Hausdorff dimension or packing dimension can be calculated by an entropy formula. In particular, they prove that such measures are unidimensional. Moreover, the authors also construct examples of unidimensional measures for which entropy does not calculate the dimension.
0 references
entropy
0 references
Hausdorff dimension
0 references
packing dimension
0 references
unidimensional measure
0 references
