Results 31 to 40 of about 9,371 (281)
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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Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure [PDF]
, 2012 "GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work"For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of ...
Boore, Graeme, Falconer, Kenneth John
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Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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An evaluation of performance measures for arterial brain vessel segmentation
BMC Medical Imaging, 2021 Background Arterial brain vessel segmentation allows utilising clinically relevant information contained within the cerebral vascular tree. Currently, however, no standardised performance measure is available to evaluate the quality of cerebral vessel ...
Orhun Utku Aydin +7 more
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Properties of measures supported on fat Sierpinski carpets [PDF]
, 2006 In this paper we study certain conformal iterated function schemes in two dimensions that are natural generalizations of the Sierpinski carpet construction. In particular, we consider scaling factors for which the open set condition fails.
Jordan, Thomas +3 more
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On the Hausdorff Measure of Rn with the Euclidean Topology [PDF]
, 2023 In this paper, we answer a question raised by David H. Fremlin about the Hausdorff measure of R2 with respect to a distance inducing the Euclidean topology. In particular we prove that the Hausdorff n-dimensional measure of Rn is never 0 when considering
Bagnara, Marco +3 more
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Semipolar Sets and Intrinsic Hausdorff Measure [PDF]
, 2018 Hansen W, Netuka I. Semipolar Sets and Intrinsic Hausdorff Measure. Potential Analysis. 2019;51(1):49-69.Given a Green function G on a locally compact space X with countable base, a Borel set A in X is called G-semipolar, if there is no measure nu not ...
Netuka, Ivan +3 more
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Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces [PDF]
, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali, Gulec, G. Canan Hazar
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Hölder differentiability of self-conformal devil's staircases [PDF]
, 2014 In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to
Troscheit, S., Sascha Troscheit
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Hausdorff Dimension and Topological Entropies of a Solenoid
Entropy, 2020 The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
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