Results 101 to 110 of about 3,791,283 (277)

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
doaj   +1 more source

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
doaj   +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
doaj  

The Hausdorff-Beiscovich dimension of the level sets of Perron’s modular function [PDF]

, 1966
John R. Kinney, T. S. Pitcher
openalex   +1 more source

Compact and finite‐type support in the homology of big mapping class groups

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any infinite‐type surface S$S$, a natural question is whether the homology of its mapping class group contains any non‐trivial classes that are supported on (i) a compact subsurface; or (ii) a finite‐type subsurface. Our purpose here is to study this question, in particular giving an almost‐complete answer when the genus of S$S$ is ...
Martin Palmer, Xiaolei Wu
wiley   +1 more source

Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny

Revista de la Facultad de Ciencias Agrarias, 2019
The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for biology. We define a new finite (Hausdorff) dimension of plants, that considers both
Juan M. Alonso, Juan Agustín Alvarez, Cecilia Vega Riveros, Villagra Pablo   +3 more
doaj  

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
doaj   +1 more source

Heisenberg Hausdorff Dimensionof Besicovitch Sets

Analysis and Geometry in Metric Spaces, 2014
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
doaj   +1 more source

Sur un problème de K. Urbanik concernant la dimension de Hausdorff [PDF]

, 1963
J. Libouban, N. Rieu
openalex   +1 more source

PIKART: A Comprehensive Global Catalog of Atmospheric Rivers

Journal of Geophysical Research: Atmospheres, Volume 130, Issue 15, 16 August 2025.
Abstract Catalogs of atmospheric rivers (ARs) are vital resources to advance AR science. Many available AR catalogs have regional extent, although only global AR catalogs can record large‐scale heterogeneities in AR transport. However, identification of ARs at a global scale presents substantial challenges caused by regionally and temporally varying ...
S. M. Vallejo‐Bernal, T. Braun, N. Marwan, J. Kurths   +3 more
wiley   +1 more source