Results 31 to 40 of about 71,510 (217)
ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS
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
doaj +1 more source
An evaluation of performance measures for arterial brain vessel segmentation
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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Statistical properties of topological Collet-Eckmann maps [PDF]
We study geometric and statistical properties of complex rational maps satisfying the Topological Collet-Eckmann Condition. We show that every such a rational map possesses a unique conformal probability measure of minimal exponent, and that this measure
Przytycki, Feliks, Rivera-Letelier, Juan
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Exact Hausdorff measure on the boundary of a Galton--Watson tree
A necessary and sufficient condition for the almost sure existence of an absolutely continuous (with respect to the branching measure) exact Hausdorff measure on the boundary of a Galton--Watson tree is obtained.
Watanabe, Toshiro
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On the equality of Hausdorff measure and Hausdorff content [PDF]
We are interested in situations where the Hausdorff 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 ...
Farkas, Ábel, Fraser, Jonathan M.
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Hausdorff Dimension and Topological Entropies of a Solenoid
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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Spaces of non-additive measures generated by triangular norms
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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Robust Geometry Estimation using the Generalized Voronoi Covariance Measure [PDF]
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
core +4 more sources
Problem with two-point conditions for parabolic equation of second order on time
The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established.
M.M. Symotyuk, I.R. Tymkiv
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Hausdorff measures and KMS states [PDF]
18 pages, 1 ...
Ionescu, Marius, Kumjian, Alex
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