Abstract. We give a new estimate for the ratio of s-dimensional Hausdorff measure Hs and (radius-based) packing measure Ps of a set in any metric space. This estimate is inf
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
In this paper, after defining Hausdorff distance, the properties are described. Then, the space of c...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
A number of definitions of packing measures have been proposed at one time or another, differing fro...
SIGLEAvailable from British Library Document Supply Centre- DSC:DXN003099 / BLDSC - British Library ...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for ...
We consider a compact metric space (X, d) such that X is a β-set (β>0). In this space, we define α-R...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
We study the Hausdorff and packing measures of typical compact metric spaces belonging to the Gromov...
In this article, we study the Hausdorff measure of shrinking target sets on self-conformal sets. The...
Let K be a compact subset ofRn, 0 6 s 6 n. Let P s0, Ps denote s-dimensional packing premeasure and ...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
In this paper, after defining Hausdorff distance, the properties are described. Then, the space of c...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
A number of definitions of packing measures have been proposed at one time or another, differing fro...
SIGLEAvailable from British Library Document Supply Centre- DSC:DXN003099 / BLDSC - British Library ...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for ...
We consider a compact metric space (X, d) such that X is a β-set (β>0). In this space, we define α-R...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
We study the Hausdorff and packing measures of typical compact metric spaces belonging to the Gromov...
In this article, we study the Hausdorff measure of shrinking target sets on self-conformal sets. The...
Let K be a compact subset ofRn, 0 6 s 6 n. Let P s0, Ps denote s-dimensional packing premeasure and ...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
In this paper, after defining Hausdorff distance, the properties are described. Then, the space of c...
Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained ...
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