Results 91 to 100 of about 64,955 (216)

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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A. Baker's conjecture and Hausdorff dimension

Publicationes Mathematicae Debrecen, 2000
Let \(M_n(\varepsilon)\) (for \(n\in \mathbb N\) and for \(\varepsilon >0\)) denote the set of \(x\in \mathbb R\) such that the inequality \[ |P(x)|
Beresnevich, V., Bernik, V.
openaire   +3 more sources

SpineMAE: A bone‐window self‐supervised and structure‐aware framework for 3D cervical vertebra segmentation and fracture classification

Journal of Applied Clinical Medical Physics, Volume 27, Issue 5, May 2026.
Abstract Introduction Accurate segmentation and classification of cervical spine fractures are essential for timely diagnosis and clinical decision‐making in trauma care. Existing deep learning approaches often require extensive manual annotations and struggle to maintain anatomical consistency across vertebral levels, limiting their reliability and ...
Qing Liang, Jingding Zhao, Fang Yang, Lin Shi, Yang Song, Xianjun Chen, Zewen Shi, Qingjiang Pang   +7 more
wiley   +1 more source

Hausdorff dimension of collision times in one-dimensional log-gases

AIP Advances
We 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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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

On the Hausdorff dimension of circular Furstenberg sets

Discrete Analysis
On 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, Jiayin Liu, Tuomas Orponen   +2 more
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On the Visibility of Homogeneous Cantor Sets

Fractal and Fractional
The 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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Hausdorff dimension and quasisymmetric mappings.

MATHEMATICA SCANDINAVICA, 1989
An increasing embedding f of an interval of the real line is quasisymmetric if there is \(q\geq 1\) such that \(1/q\leq (f(x+t)- f(x))/(f(x)-f(x-t))\leq q\) for all distinct x, \(x+t\), x-t. The paper gives an example of a quasisymmetric map f of the unit interval I with the property that there is a measurable subset Y of I such that the Hausdorff ...
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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
doaj  

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
doaj