Results 21 to 30 of about 9,371 (281)
Exceptional families of measures on Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
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Codimension formulae for the intersection of fractal subsets of Cantor spaces [PDF]
, 2015 We examine the dimensions of the intersection of a subset E of an m-ary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric.
Falconer, Kenneth John, Donoven, Casey
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Nonstandard Measure Theory-Hausdorff Measure [PDF]
Proceedings of the American Mathematical Society, 1977 In this paper it is shown that the Hausdorff measures λ
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Analysis and Geometry in Metric Spaces, 2020 This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of ℝ2n, as well as dimension of intersections of sets with isotropic planes. It is shown that if A and B are Borel subsets of ℝ2n of dimension greater than
Román-García Fernando
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On the equality of Hausdorff measure and Hausdorff content [PDF]
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2015 We are interested in situations where the Hausdor measure and Hausdorff content of a set are equal in the critical dimension. Our main result shows that this equality holds for any subset of a self-similar set corresponding to a nontrivial cylinder of an irreducible subshift of finite type, and thus also for any self-similar or graph-directed self ...
Farkas, Ábel, Fraser, Jonathan M
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have ...
Hongwen Guo, Dihe Hu
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Hausdorff-Distance Enhanced Matching of Scale Invariant Feature Transform Descriptors in Context of Image Querying [PDF]
, 2012 Reliable and effective matching of visual descriptors is a key step for many vision applications, e.g. image retrieval. In this paper, we propose to integrate the Hausdorff distance matching together with our pairing algorithm, in order to obtain a ...
D. Wilson +3 more
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Positive-measure self-similar sets without interior [PDF]
, 2006 We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr. Prob. 46 (2000), 95–106: can one find examples of self-similar sets with positive Lebesgue measure, but with no interior?
Solomyak, B +9 more
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Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences. [PDF]
PLoS ONE, 2015 Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences.
Kun Tian +5 more
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A Hausdorff measure inequality [PDF]
, 1976 We prove that the Hausdorff ( m + k ) (m + k) -measure of a product set is no less than the product of the Hausdorff m-measure of the (measurable) first component set in
Lawrence R. Ernst, Gerald Freilich
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