In 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 consider various classes of iterated function systems, such as those comprised of similarities an...
Let β>1. We define a class of similitudes S:=(fi(x)=xβni+ai:ni∈N+,ai∈R). Taking any finite collectio...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
AbstractIn this note we consider a family of self-similar iterated function system on the line with ...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
In this paper we consider an one-parameter family of iterated function systems. For every value of t...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
AbstractWe study iterated function systems (IFSs) of contractive similitudes on Rd with overlaps. We...
We study iterated function systems (IFSs) of contractive similitudes on Rd with overlaps. We introdu...
Let K ⊆ R be the unique attractor of an iterated function system. We consider the case where K is an...
For a conformal iterated function system satisfying the bounded distortion property and the weak sep...
We extend the finite type condition to graph-directed iterated function systems with overlaps. Under...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Using techniques introduced by C. G ̈unt ̈urk, we prove that the attractors of a family of overlappi...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
We consider various classes of iterated function systems, such as those comprised of similarities an...
Let β>1. We define a class of similitudes S:=(fi(x)=xβni+ai:ni∈N+,ai∈R). Taking any finite collectio...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
AbstractIn this note we consider a family of self-similar iterated function system on the line with ...
AbstractThe dimension theory of self-similar sets is quite well understood in the cases when some se...
In this paper we consider an one-parameter family of iterated function systems. For every value of t...
We introduce a finite boundary type condition on iterated function systems of contractive similitude...
AbstractWe study iterated function systems (IFSs) of contractive similitudes on Rd with overlaps. We...
We study iterated function systems (IFSs) of contractive similitudes on Rd with overlaps. We introdu...
Let K ⊆ R be the unique attractor of an iterated function system. We consider the case where K is an...
For a conformal iterated function system satisfying the bounded distortion property and the weak sep...
We extend the finite type condition to graph-directed iterated function systems with overlaps. Under...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Using techniques introduced by C. G ̈unt ̈urk, we prove that the attractors of a family of overlappi...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
We consider various classes of iterated function systems, such as those comprised of similarities an...
Let β>1. We define a class of similitudes S:=(fi(x)=xβni+ai:ni∈N+,ai∈R). Taking any finite collectio...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
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