AbstractIn this note we consider a family of self-similar iterated function system on the line with overlapping cylinders. We point out that there exists an uncountable family of parameters for which the Hausdorff-dimension of the attractor is smaller than one although the similarity dimension is bigger than one
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
AbstractLet K be a self-similar set in Rn which has similarity dimension n and nonempty interior. In...
In this paper we consider an one-parameter family of iterated function systems. For every value of t...
In this note we consider a family of self-similar iterated function system on the line with overlapp...
AbstractIn this note we consider a family of self-similar iterated function system on the line with ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
We determine the Hausdorff, the packing and the box-counting dimensions of a family of self-affine s...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
AbstractLet K be a self-similar set in Rn which has similarity dimension n and nonempty interior. In...
In this paper we consider an one-parameter family of iterated function systems. For every value of t...
In this note we consider a family of self-similar iterated function system on the line with overlapp...
AbstractIn this note we consider a family of self-similar iterated function system on the line with ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
AbstractFor the contracting similaritiesS1(x)=x/3,S2(x)=(x+λ)/3, andS3(x)=(x+2)/3, where λ∈[0,1], le...
We determine the Hausdorff, the packing and the box-counting dimensions of a family of self-affine s...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
AbstractLet K be a self-similar set in Rn which has similarity dimension n and nonempty interior. In...
In this paper we consider an one-parameter family of iterated function systems. For every value of t...
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