Note on packing and weak-packing measures with Hausdorff functions
Journal of Mathematical Analysis and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Ying Wen
exaly +2 more sources
Packing and Hausdorff Measures of Cantor Sets Associated with Series
Real Analysis Exchange, 2015 We study a generalization of Morán's sum sets, obtaining information about the $h$-Hausdorff and $h$-packing measures of these sets and certain of their subsets.
Leandro Zuberman, Franklin Mendivil
exaly +5 more sources
On the Hausdorff and packing measures of typical compact metric spaces [PDF]
Aequationes Mathematicae, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lars Olsen, Olsen L
exaly +4 more sources
Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions [PDF]
Journal of Difference Equations and Applications, 2020 arXiv admin note: text overlap with arXiv:1810 ...
Hiroki Sumi
exaly +3 more sources
Comparing the Hausdorff and packing measures of sets of small dimension in metric spaces [PDF]
Monatshefte Fur Mathematik, 2010 The author gives a new estimate for the ratio of \(s\)-dimensional Hausdorff measure \({\mathcal H}^s\) and (radius-based) packing measure \({\mathcal P}^s\) of a set in any metric space. The estimate is that the infimum of the ratio \(c(s,X)\) satisfies \(c(s,X) \geq 1+(2-\frac{3}{2^{1/s}})^s\), where ...
Tapio Rajala, Rajala Tapio
exaly +3 more sources
Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous [PDF]
Journal of Mathematical Analysis and Applications, 2019 We compute the exact Hausdorff and Packing measures of linear Cantor sets which might not be self similar or homogeneous . The calculation is based on the local behavior of the natural probability measure supported on the sets.
Leandro Zuberman
exaly +4 more sources
Hausdorff measure and packing measure of the graph of dilation-stable Lévy processes
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +2 more sources
On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
doaj +1 more source
ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
Проблемы анализа, 2023 In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid ...
B. Selmi, N. Yu. Svetova
doaj +1 more source
Generic zero-Hausdorff and one-packing spectral measures [PDF]
Journal of Mathematical Physics, 2021 For some metric spaces of self-adjoint operators, it is shown that the set of operators whose spectral measures have simultaneous zero upper-Hausdorff and one lower-packing dimension contains a dense Gδ subset. Applications include sets of limit-periodic operators.
Silas L. Carvalho, César R. de Oliveira
openaire +2 more sources