Results 21 to 30 of about 6,228 (212)
Translating Hausdorff is hard: fine-grained lower bounds for Hausdorff distance under translation
Journal of Computational Geometry, 2022 Computing the similarity of two point sets is a ubiquitous task in medical imaging, geometric shape comparison, trajectory analysis, and many more settings.
Karl Bringmann, André Nusser
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Something About h - Measures of Sets in Plane
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this article we estimate the Hausdorff h-measures of the graphs of some functions, for different measure functions.
Bărbulescu Alina
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Haar Measure for non-Hausdorff Locally Compact Groups [PDF]
Advances in Group Theory and ApplicationsThe paper describes two possible ways of extending the definition of Haar measure to non-Hausdorff locally compact groups. The first one forces compact sets to be measurable: with this construction, a counterexample to the existence of the Haar measure ...
Lisa Valentini
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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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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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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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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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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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Some remarks on the Hausdorff measure of the Cantor set
SHS Web of Conferences, 2016 In this paper, the author further reveals some intrinsic properties of the Cantor set. By the properties, the author gives a new method for calculating the exact value of the Hausdorff measure of the Cantor set, and shows the facts that each covering ...
Wang Minghua
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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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