Add to ORKGThe problem on intersection of Cantor sets was examined in many papers. To solve this problem, we introduce the notion of lacunary self-similar set. The main difference to the standard (Hutchinson) notion of self-similarity is that the set of similarities used in the construction may vary from step to step in a certain way. Using a modification of method described in [3], [4], we find the Hausdorff dimension of a lacunary self-similar set
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
In this paper we consider self-similar Cantor sets ae R which are either homogeneous and \Gamma is...
Given a metric space (K, d), the hyperspace of K is defined by H(K) = {F c K: F is compact, F ? 0}. ...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
Die Arbeit untersucht die Geometrie selbstähnlicher Mengen endlichen Typs, indem die möglichen Nachb...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
In this paper we consider self-similar Cantor sets ae R which are either homogeneous and \Gamma is...
Given a metric space (K, d), the hyperspace of K is defined by H(K) = {F c K: F is compact, F ? 0}. ...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Fractal is a set, which geometric pattern is self-similar at different scales. It has a fractal dime...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
Die Arbeit untersucht die Geometrie selbstähnlicher Mengen endlichen Typs, indem die möglichen Nachb...
Title: Hausdorff metric and its application in fractals Author: Branislav Ján Roháľ Department: Depa...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
In this paper we consider self-similar Cantor sets ae R which are either homogeneous and \Gamma is...
Given a metric space (K, d), the hyperspace of K is defined by H(K) = {F c K: F is compact, F ? 0}. ...