Results 31 to 40 of about 69,299 (185)
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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Fourier transforms of Gibbs measures for the Gauss map [PDF]
, 2015 We investigate under which conditions a given invariant measure $\mu$ for the dynamical system defined by the Gauss map $x \mapsto 1/x \mod 1$ is a Rajchman measure with polynomially decaying Fourier transform $$|\widehat{\mu}(\xi)| = O(|\xi|^{-\eta ...
Jordan, Thomas, Sahlsten, Tuomas
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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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Robust Geometry Estimation using the Generalized Voronoi Covariance Measure [PDF]
, 2015 The Voronoi Covariance Measure of a compact set K of R^d is a tensor-valued measure that encodes geometric information on K and which is known to be resilient to Hausdorff noise but sensitive to outliers. In this article, we generalize this notion to any
Cuel, Louis +3 more
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ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS
Pesquimat, 2014 A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obtained through the study of an angular density introduced first by Marstrand [2].
Carlos Arnoldo Morales Rojas
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Hausdorff measures and KMS states [PDF]
Indiana University Mathematics Journal, 2013 18 pages, 1 ...
Alex Kumjian, Marius Ionescu
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A general principle for Hausdorff measure [PDF]
Proceedings of the American Mathematical Society, 2019 We introduce a general principle for studying the Hausdorff measure of limsup sets. A consequence of this principle is the well-known Mass Transference Principle of Beresnevich and Velani (2006).
David Simmons, Mumtaz Hussain
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Spaces of non-additive measures generated by triangular norms
Математичні Студії, 2023 We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
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Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates
, 2012 We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator.
Ponce, Augusto C.
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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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