Add to ORKGIn this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) ${\alpha x, \beta x, \gamma x+(1-\gamma)\}$. We provide an "almost every" type result by a direct application of the results of Feng and Hu and Kamalutdinov and Tetenov
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
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...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractRecently, Barreira and Schmeling (2000) [1] and Chen and Xiong (1999) [2] have shown, that f...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
Self-similar measures can be obtained by regarding the self similar set generated by a system of sim...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
AbstractWe develop a tool to analyse some self-similar measures with overlaps, those obtained from s...
Besicoviteh (1941) and Egglestone (1949) analyzed subsets of points of the unit interval with given...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...
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...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
AbstractRecently, Barreira and Schmeling (2000) [1] and Chen and Xiong (1999) [2] have shown, that f...
Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform ...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
Self-similar measures can be obtained by regarding the self similar set generated by a system of sim...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
AbstractWe develop a tool to analyse some self-similar measures with overlaps, those obtained from s...
Besicoviteh (1941) and Egglestone (1949) analyzed subsets of points of the unit interval with given...
For a self-similar set in Rd that is the attractor of an iterated function system that does not veri...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
In this paper we study the absolute continuity of self-similar measures defined by iterated function...