Results 11 to 20 of about 338 (182)
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
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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.
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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
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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
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Exact Hausdorff and packing measures for random self-similar code-trees with necks
, 2021 Random code-trees with necks were introduced recently to generalise the notion of V-variable and random homogeneous sets. While it is known that the Hausdorff and packing dimensions coincide irrespective of overlaps, their exact Hausdorff and packing ...
Troscheit, Sascha
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The Hausdorff measure and the packing measure on a perturbed Cantor set [PDF]
Real Analysis Exchange, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2021 Random code-trees with necks were introduced recently to generalise the notion of V-variable and random homogeneous sets. While it is known that the Hausdorff and packing dimensions coincide irrespective of overlaps, their exact Hausdorff and packing ...
Troscheit, Sascha,
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Packing and Hausdorff Measures of Stable Trees [PDF]
, 2010 In this paper we discuss Hausdorff and packing measures of random continuous trees called stable trees. Stable trees form a specific class of Lévy trees (introduced by Le Gall and Le Jan in 1998) that contains Aldous's continuum random tree (1991) which corresponds to the Brownian case.
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Hausdorff and packing measure for thick solenoids [PDF]
Studia Mathematica, 2004 Summary: For a linear solenoid with two different contraction coefficients and box dimension greater than 2, we give precise formulas for the Hausdorff and packing dimensions. We prove that the packing measure is infinite and give a condition necessary and sufficient for the Hausdorff measure to be positive, finite and equivalent to the SBR measure. We
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The Hausdorff and packing measure of some digital expansions
Acta Arithmetica, 2022 Minor changes.
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