Results 11 to 20 of about 2,719 (189)
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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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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The Hausdorff and packing measure of some digital expansions
Acta Arithmetica, 2022 Minor changes.
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On the Hausdorff and packing measures of typical compact metric spaces [PDF]
Aequationes mathematicae, 2018 We study the Hausdorff and packing measures of typical compact metric spaces belonging to the Gromov–Hausdorff space (of all compact metric spaces) equipped with the Gromov–Hausdorff metric.
S. Jurina +4 more
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Sixty Years of Fractal Projections [PDF]
, 2014 Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto lines. For many years, the paper attracted very little attention.
A. Ferguson +60 more
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Note on packing and weak-packing measures with Hausdorff functions
Journal of Mathematical Analysis and Applications, 2006 AbstractFor every Hausdorff function we construct a compact metric space of finite positive weak-packing measure. Also we prove that for every non-doubling Hausdorff function there exists a compact metric space on which the packing and weak-packing measures are not equivalent.
Shengyou Wen, Zhi-Ying Wen
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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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Dimension bounds for invariant measures of bi-Lipschitz iterated function systems [PDF]
, 2015 We study probabilistic iterated function systems (IFS), consisting of a finite or infinite number of average-contracting bi-Lipschitz maps on R^d. If our strong open set condition is also satisfied, we show that both upper and lower bounds for the ...
Anckar, Andreas
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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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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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