Add to ORKGAbstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metric space. We define Hausdorff measure and dimension, enumerate some techniques for computing Hausdorff dimension, and provide applications to self-similar sets and Brownian motion. Our approach follows that of Stein [4] and Peres [3]. Content
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
We define deformed self-similar sets which are generated by a sequence of similar contraction mappin...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX174386 / BLDSC - British Library D...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
CHAPTER I The definition of all the measure functions used in the thesis. CHAPTER II The condition f...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
SIGLEAvailable from British Library Document Supply Centre- DSC:DXN003099 / BLDSC - British Library ...
We present a powerful approach to computing the Hausdorff dimension of certain conformally self-simi...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
We define deformed self-similar sets which are generated by a sequence of similar contraction mappin...
This paper contains a review of recent results concerning typical properties of dimensions of sets a...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
SIGLEAvailable from British Library Document Supply Centre- DSC:DX174386 / BLDSC - British Library D...
In recent years, geometric measure theory has become a very heated topic in mathematics. According t...
CHAPTER I The definition of all the measure functions used in the thesis. CHAPTER II The condition f...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
SIGLEAvailable from British Library Document Supply Centre- DSC:DXN003099 / BLDSC - British Library ...
We present a powerful approach to computing the Hausdorff dimension of certain conformally self-simi...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...