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.
Wen, Sheng-You, Wen, Zhi-Ying
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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 ...
Inui, Kanji, Sumi, Hiroki
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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.
S. Jurina +4 more
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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
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Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids [PDF]
Ergodic Theory and Dynamical Systems, 2021 AbstractWe extend the results of Hasselblatt and Schmeling [Dimension product structure of hyperbolic sets. Modern Dynamical Systems and Applications. Eds. B. Hasselblatt, M. Brin and Y. Pesin. Cambridge University Press, New York, 2004, pp. 331–345] and of Rams and Simon [Hausdorff and packing measure for solenoids. Ergod. Th. & Dynam.
REZA MOHAMMADPOUR +2 more
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A variational principle in the parametric geometry of numbers [PDF]
, 2020 We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$ linear forms in $n$ variables, and establish a new connection to the metric theory via a variational ...
Das, Tushar +3 more
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On random fractals with infinite branching: definition, measurability, dimensions [PDF]
, 2013 We discuss the definition and measurability questions of random fractals and find under certain conditions a formula for upper and lower Minkowski dimensions.
Berlinkov, Artemi
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Packing and Hausdorff Measures of Cantor Sets Associated with Series
Real Analysis Exchange, 2015 We study a generalization of Mor n's sum sets, obtaining information about the $h$-Hausdorff and $h$-packing measures of these sets and certain of their subsets.
Hare, Kathryn +2 more
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Свойство выпуклости взаимных мультифрактальных размерностей [PDF]
Проблемы анализа, 2010 В работе установлено свойство выпуклости взаимной мультифрактальной упаковочной размерности подмножества пересечения носителей вероятностных борелевских мер μ и v.
Светова Н. Ю.
doaj
Hausdorff and Packing Measures of Balanced Cantor Sets
Real Analysis Exchange, 2015 We estimate the \(h\)-Hausdorff and \(h\)-packing measures of balanced Cantor sets, and characterize the corresponding dimension partitions. This generalizes results known for Cantor sets associated with positive decreasing summable sequences and central Cantor sets.
Hare, Kathryn, Ng, Ka-Shing
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