Add to ORKGWe define deformed self-similar sets which are generated by a sequence of similar contraction mappings ffs: s A S g on Rd, fs having its contraction ratio rs, and calculate thier Hausdorff dimension
AbstractWe present an algorithm, based on Falconer's results in [4,6], to effectively estimate the H...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
We present a powerful approach to computing the Hausdorff dimension of certain conformally self-simi...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
We present an algorithm, based on Falconer's results in [4, 6], to effectively estimate the Hau...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
We prove that for all \(s\in(0,d)\) and \(c\in (0,1)\) there exists a self-similar set \(E\subset\ma...
In this article, we study the Hausdorff measure of shrinking target sets on self-conformal sets. The...
AbstractWe present an algorithm, based on Falconer's results in [4,6], to effectively estimate the H...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
We present a powerful approach to computing the Hausdorff dimension of certain conformally self-simi...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
In our everyday experiences, we have developed a concept of dimension, neatly expressed as integers,...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
We present an algorithm, based on Falconer's results in [4, 6], to effectively estimate the Hau...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
We prove that for all \(s\in(0,d)\) and \(c\in (0,1)\) there exists a self-similar set \(E\subset\ma...
In this article, we study the Hausdorff measure of shrinking target sets on self-conformal sets. The...
AbstractWe present an algorithm, based on Falconer's results in [4,6], to effectively estimate the H...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...