Add to ORKGSelf-similar measures can be obtained by regarding the self similar set generated by a system of similitudes 1J.i = {<Pi}ieM as the probability space associated with an infinite process of Bernouilli trials with state space 1J.i. These measures are concentrated in Besicovitch sets, which are those sets composed oí points with given asymptotic frequencies in their generating similitudes. In this paper we obtain some geometric-size properties of self-similar measures. We generalize the expression of the Hausdorff and packing dimensiona of such measures to the case when M is countable. We give a precise answer to the problem of determining what packing measures are singular viith respect to self-slmilar measures. Both problems are solved by me...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
In this paper we obtain the rates of convergence of the algorithms given in [13] and [14] for an aut...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
Besicoviteh (1941) and Egglestone (1949) analyzed subsets of points of the unit interval with given...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/...
We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
We show that in many parametrized families of self-similar measures, their projections, and their co...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
In this paper we obtain the rates of convergence of the algorithms given in [13] and [14] for an aut...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...
Besicoviteh (1941) and Egglestone (1949) analyzed subsets of points of the unit interval with given...
A contractive similarity is a function which preserves the geometry of a object but shrinks it down ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
AbstractWe have given several necessary and sufficient conditions for statistically self-similar set...
Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-simila...
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/...
We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
The thesis consists of four main chapters. The first chapter includes an introduction to inhomogeneo...
We show that in many parametrized families of self-similar measures, their projections, and their co...
We study the geometric properties of random multiplicative cascade measures defined on self-similar ...
In this paper we obtain the rates of convergence of the algorithms given in [13] and [14] for an aut...
AbstractWe define the notion of quasi self-similar measures and show that for such measures their ge...