AbstractWe have given several necessary and sufficient conditions for statistically self-similar sets and a.s. self-similar sets and have got the Hausdorff dimension and exact Hausdorff measure function of any a.s. self-similar set in this paper. It is useful in the study of probability properties and fractal properties and structure of statistically recursive sets
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
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...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
We prove that for all \(s\in(0,d)\) and \(c\in (0,1)\) there exists a self-similar set \(E\subset\ma...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
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...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
The properties of self-similar sets are discussed and a brief historical survey of ideas related to ...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
We prove that for all \(s\in(0,d)\) and \(c\in (0,1)\) there exists a self-similar set \(E\subset\ma...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we in...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematica...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
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