Add to ORKGThis paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff di-mension, box dimension, and packing dimension of sets and in the Hausdorff dimension, box dimension, correlation dimension, concentration dimension, and local dimension of measures. 1
The purpose of this article is to introduce and motivate the notion of Minkowski (or box) dimension ...
We introduce a continuum of dimensions which are 'intermediate' between the familiar Hausdorff and b...
SIGLETIB: RO 2556 (1987,25) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
AbstractFor level sets related to the tangential dimensions of Bernoulli measures, the Hausdorff and...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Abstract. We compute the typical (in the sense of Baire’s category theorem) multi-fractal box dimens...
CHAPTER I The definition of all the measure functions used in the thesis. CHAPTER II The condition f...
Fractal analysis is an important tool when we need to study geometrical objects less regular than or...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
Abstract. We give a new estimate for the ratio of s-dimensional Hausdorff measure Hs and (radius-bas...
IN fractal geometry, two classes of sets play important roles. One is the regular set (the set Hausd...
The purpose of this article is to introduce and motivate the notion of Minkowski (or box) dimension ...
We introduce a continuum of dimensions which are 'intermediate' between the familiar Hausdorff and b...
SIGLETIB: RO 2556 (1987,25) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
AbstractFor level sets related to the tangential dimensions of Bernoulli measures, the Hausdorff and...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Abstract. We compute the typical (in the sense of Baire’s category theorem) multi-fractal box dimens...
CHAPTER I The definition of all the measure functions used in the thesis. CHAPTER II The condition f...
Fractal analysis is an important tool when we need to study geometrical objects less regular than or...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
Abstract. We give a new estimate for the ratio of s-dimensional Hausdorff measure Hs and (radius-bas...
IN fractal geometry, two classes of sets play important roles. One is the regular set (the set Hausd...
The purpose of this article is to introduce and motivate the notion of Minkowski (or box) dimension ...
We introduce a continuum of dimensions which are 'intermediate' between the familiar Hausdorff and b...
SIGLETIB: RO 2556 (1987,25) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informatio...