On relations between entropy and Hausdorff dimension of measures
Batakis, Athanasios ; Heurteaux, Yanick
HAL, hal-00475606 / Harvested from HAL
Text on HAL
We characterize probability measures whose Hausdorff dimension or packing dimension can be calculated by an entropy formula. In particular, we prove that such measures are unidimensional. We also construct examples of unidimensional measures for which entropy does not calculate the dimension.
Publié le : 2002-07-05
Classification:  Hausdorff dimension,  packing dimension,  lower and upper dimension,  lower and upper entropy,  28A12 28A78 28D20,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00475606,
     author = {Batakis, Athanasios and Heurteaux, Yanick},
     title = {On relations between entropy and Hausdorff dimension of measures},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00475606}
}

Batakis, Athanasios; Heurteaux, Yanick. On relations between entropy and Hausdorff dimension of measures. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00475606/