AbstractLet K(a) be the symmetrical Cantor set generated by ϕ0(x)=ax and ϕ1(x)=ax+(1−a), where 0<a<1/2. Let s be the Hausdorff dimension of K(a) and μ the Cantor measure. In this paper, under the hypothesis that a is slightly greater than 1/3, we obtain the explicit formulas of the upper and lower s-densities Θ⁎s(μ,x), Θ⁎s(μ,x) for every point x∈K(a). Moreover, we describe the range of a key quantity τ(x) in these formulas
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of po...
AbstractIn a paper from 1954 Marstrand proved that if K⊂R2 has a Hausdorff dimension greater than 1,...
AbstractIn this note we give a combinatorial characterization of the set of density points for a cla...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. We establish formulas for bounds on the Haudorff measure of the intersection of certain Ca...
Cílem této bakalářské práce je shrnout základní teorii Lebesgueovy a Hausdorffovy míry a vysvětlit j...
© 2015 Dr. Mariam M. KreydemThis thesis studies the Lebesgue density notions from different angles i...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
We show that if a Cantor set E as considered by Garnett in [G2] has positive Hausdorff h-measure for...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
We study a generalization of Mor´an´s sum sets, obtaining information about the h-Hausdorff and h-pa...
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of po...
AbstractIn a paper from 1954 Marstrand proved that if K⊂R2 has a Hausdorff dimension greater than 1,...
AbstractIn this note we give a combinatorial characterization of the set of density points for a cla...
AbstractIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation co...
In this paper, the author further reveals some intrinsic properties of the Cantor set. By the proper...
We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self si...
Abstract. We establish formulas for bounds on the Haudorff measure of the intersection of certain Ca...
Cílem této bakalářské práce je shrnout základní teorii Lebesgueovy a Hausdorffovy míry a vysvětlit j...
© 2015 Dr. Mariam M. KreydemThis thesis studies the Lebesgue density notions from different angles i...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
Abstract. A linear Cantor set C with zero Lebesgue measure is associated with the countable collecti...
We show that if a Cantor set E as considered by Garnett in [G2] has positive Hausdorff h-measure for...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
We study a generalization of Mor´an´s sum sets, obtaining information about the h-Hausdorff and h-pa...
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of po...
AbstractIn a paper from 1954 Marstrand proved that if K⊂R2 has a Hausdorff dimension greater than 1,...
AbstractIn this note we give a combinatorial characterization of the set of density points for a cla...
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