AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density
Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite....
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
AbstractLet K(a) be the symmetrical Cantor set generated by ϕ0(x)=ax and ϕ1(x)=ax+(1−a), where 0<a<1...
Let K be the attractor of a linear iterated function system Sjx = ρjx+bj (j = 1,..., m) on the real ...
Cantor sets in R are common examples of sets for which Hausdorff measures can be positive and fnite....
AbstractFor the packing measure of the Cartesian product of the middle third Cantor set with itself,...
Abstract. We estimate the packing measure of Cantor sets associated to non-increasing sequences thro...
For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under s...
We study a generalization of Mor´an´s sum sets, obtaining information about the h-Hausdorff and h-pa...
Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite....
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
AbstractLet K(a) be the symmetrical Cantor set generated by ϕ0(x)=ax and ϕ1(x)=ax+(1−a), where 0<a<1...
Let K be the attractor of a linear iterated function system Sjx = ρjx+bj (j = 1,..., m) on the real ...
Cantor sets in R are common examples of sets for which Hausdorff measures can be positive and fnite....
AbstractFor the packing measure of the Cartesian product of the middle third Cantor set with itself,...
Abstract. We estimate the packing measure of Cantor sets associated to non-increasing sequences thro...
For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under s...
We study a generalization of Mor´an´s sum sets, obtaining information about the h-Hausdorff and h-pa...
Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite....
We analyze the local bahaviour of the Hausdorff measure and the packing measure of self-similar sets...
We analyze the structure and the regularity of a broad class of Cantor sets. We provide criteria, an...
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