Add to ORKGAbstract. Recall that a Borel probability measure µ on IR is called extremal if µ-almost every number in IR is not very well approximable. In this paper, we prove extremality (and implying it the exponentially fast decay property (efd)) of conformal measures induced by 1-dimensional finite parabolic iterated function systems. We also investigate the doubling property of these measures and we estimate from below the Hausdorff dimension of the limit sets of such iterated systems. 1
This article presents a new method of proving the Diophantine extremality of various dynamically def...
AbstractUnder some technical assumptions it is shown that the Hausdorff dimension of the harmonic me...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
AbstractIt is proved that the Hausdorff measure on the limit set of a finite conformal iterated func...
We study various aspects of tame finite parabolic iterated function systems that satisfy a certain o...
AbstractLet h be the Hausdorff dimension of the limit set of a conformal parabolic iterated function...
. In this paper we introduce and explore conformal parabolic iterated function systems. We define an...
In this note we investigate radial limit sets of arbitrary regular conformal iterated function syste...
AbstractIn this note we investigate radial limit sets of arbitrary regular conformal iterated functi...
We present a new method of proving the Diophantine extremality of various dynamically defined measur...
We study parabolic iterated function systems with overlaps on the real line. We show that if a d-par...
AbstractWe provide sufficient conditions for the conformal measures induced by regular conformal inf...
We study the h-conformal measure for parabolic rational maps, where h denotes the Hausdorff dimensio...
The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). ...
AbstractWe introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact met...
This article presents a new method of proving the Diophantine extremality of various dynamically def...
AbstractUnder some technical assumptions it is shown that the Hausdorff dimension of the harmonic me...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...
AbstractIt is proved that the Hausdorff measure on the limit set of a finite conformal iterated func...
We study various aspects of tame finite parabolic iterated function systems that satisfy a certain o...
AbstractLet h be the Hausdorff dimension of the limit set of a conformal parabolic iterated function...
. In this paper we introduce and explore conformal parabolic iterated function systems. We define an...
In this note we investigate radial limit sets of arbitrary regular conformal iterated function syste...
AbstractIn this note we investigate radial limit sets of arbitrary regular conformal iterated functi...
We present a new method of proving the Diophantine extremality of various dynamically defined measur...
We study parabolic iterated function systems with overlaps on the real line. We show that if a d-par...
AbstractWe provide sufficient conditions for the conformal measures induced by regular conformal inf...
We study the h-conformal measure for parabolic rational maps, where h denotes the Hausdorff dimensio...
The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). ...
AbstractWe introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact met...
This article presents a new method of proving the Diophantine extremality of various dynamically def...
AbstractUnder some technical assumptions it is shown that the Hausdorff dimension of the harmonic me...
. We consider subsets F of R n generated by iterated function systems with contracting conformal C...