A subset E of the Euclidean,l-space R ' is called self-similar if there are simili-tudes §r,..., Siu of R ' such that s,E and the different parts,S;.8 are "nearly " disjoint; more precisely, if s is the Hausdorf
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
The work is the second part of a previous one, published in the same magazine (Contextos I...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
We show that the sets of sub-self-similar sets and super-self-similar sets are both dense, first cat...
Die Arbeit untersucht die Geometrie selbstähnlicher Mengen endlichen Typs, indem die möglichen Nachb...
Branching trees and bushes are obtained from a segment by an infinite sequence of two elementary tra...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
atural structures are often hierarchical, for example, with a sponge-like topology. Self-similar top...
We define exact self-similarity of Space Filling Curves on the plane. For that purpose, we adapt the...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
The work is the second part of a previous one, published in the same magazine (Contextos I...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
We show that the sets of sub-self-similar sets and super-self-similar sets are both dense, first cat...
Die Arbeit untersucht die Geometrie selbstähnlicher Mengen endlichen Typs, indem die möglichen Nachb...
Branching trees and bushes are obtained from a segment by an infinite sequence of two elementary tra...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
atural structures are often hierarchical, for example, with a sponge-like topology. Self-similar top...
We define exact self-similarity of Space Filling Curves on the plane. For that purpose, we adapt the...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
The work is the second part of a previous one, published in the same magazine (Contextos I...
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