Results 81 to 90 of about 3,294 (223)
Hausdorff dimension of collision times in one-dimensional log-gases
AIP AdvancesWe consider systems of multiple Brownian particles in one dimension that repel mutually via a logarithmic potential on the real line, more specifically the Dyson model.
Nicole Hufnagel, Sergio Andraus
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On spectra of probability measures generated by GLS-expansions
Modern Stochastics: Theory and Applications, 2016 We study properties of distributions of random variables with independent identically distributed symbols of generalized Lüroth series (GLS) expansions (the family of GLS-expansions contains Lüroth expansion and $Q_{\infty }$- and ${G_{\infty }^{2 ...
Marina Lupain
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Advances in 4D Representation: Geometry, Motion, and Interaction
Computer Graphics Forum, EarlyView.We survey 4D representation through three key pillars — geometry, motion, and interaction — offering a selective, representation‐centric perspective to guide researchers in choosing and customizing the right 4D representation for their tasks. Abstract We present a survey on 4D generation and reconstruction, a fast‐evolving subfield of computer graphics
M. Zhao +7 more
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Calculation of Hausdorff dimensions of basins of ergodic measures in encoding spaces
Журнал Белорусского государственного университета: Математика, информатика, 2018 In the article we consider spaces XN of sequences of elements of finite alphabet X (encoding spaces) and ergodic measures on them, basins of ergodic measures and Hausdorff dimensions of such basins with respect to ultrametrics defined by a product of ...
Pavel N. Varabei
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On the Hausdorff dimension of circular Furstenberg sets
Discrete AnalysisOn the Hausdorff dimension of circular Furstenberg sets, Discrete Analysis 2024:18, 83 pp. In the late 1990s, Wolff proved the following result. Suppose that the set $E\subset \mathbb R^2$ contains circles centered at all points of a Borel set with ...
Katrin Fässler +2 more
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On the Visibility of Homogeneous Cantor Sets
Fractal and FractionalThe problems associated with the visible set have been explored by various scholars. In this paper, we investigate the Hausdorff dimension and the topological properties of the visible set in relation to the products of homogeneous Cantor sets.
Yi Cai, Yufei Chen
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International Endodontic Journal, EarlyView.ABSTRACT Background Accurate assessment of caries depth on intraoral radiographs is crucial for determining the extent of the lesion and planning appropriate treatment. Artificial intelligence (AI) models have been increasingly used for detecting and classifying carious lesions; however, the evidence focusing specifically on the classification of ...
Laith Abu Qdais +5 more
wiley +1 more source
Projections of measures with small supports
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
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Hausdorff Dimension in Stochastic Dispersion
Journal of Statistical Physics, 2002 26 ...
Dolgopyat, D., Kaloshin, V., Koralov, L.
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