Let K be the attractor of a linear iterated function system Sjx = ρjx+bj (j = 1,..., m) on the real line satisfying the open set condition (where the open set is an interval). It is well known that the packing dimension of K is equal to α, the unique positive solution y of the equation ∑m j=1 ρ y j = 1; and the α–dimensional packing measure Pα(K) is finite and positive. Denote by µ the unique self–similar measure for the IF
We construct an iterated function system consisting of strictly increasing contractions f, g: [ 0 , ...
We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attracto...
The equilibrium measure of a compact set is a fundamental object in logarithmic potential theory. We...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. We estimate the packing measure of Cantor sets associated to non-increasing sequences thro...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
We study probabilistic iterated function systems (IFS), consisting of a finite or infinite number of...
AbstractFor the packing measure of the Cartesian product of the middle third Cantor set with itself,...
In the context of fractal geometry, the natural extension of volume in Euclidean space is given by H...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN005149 / BLDSC - British Library D...
We study the topological properties of attractors of iterated function systems (IFS) on the real lin...
We describe a numerical technique to compute the equilibrium measure, in logarithmic potential theor...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and T...
We construct an iterated function system consisting of strictly increasing contractions f, g: [ 0 , ...
We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attracto...
The equilibrium measure of a compact set is a fundamental object in logarithmic potential theory. We...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. We estimate the packing measure of Cantor sets associated to non-increasing sequences thro...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
We study probabilistic iterated function systems (IFS), consisting of a finite or infinite number of...
AbstractFor the packing measure of the Cartesian product of the middle third Cantor set with itself,...
In the context of fractal geometry, the natural extension of volume in Euclidean space is given by H...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN005149 / BLDSC - British Library D...
We study the topological properties of attractors of iterated function systems (IFS) on the real lin...
We describe a numerical technique to compute the equilibrium measure, in logarithmic potential theor...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and T...
We construct an iterated function system consisting of strictly increasing contractions f, g: [ 0 , ...
We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attracto...
The equilibrium measure of a compact set is a fundamental object in logarithmic potential theory. We...