Results 21 to 30 of about 1,009,431 (281)
On distance sets, box-counting and Ahlfors-regular sets [PDF]
, 2017 We obtain box-counting estimates for the pinned distance sets of (dense subsets of) planar discrete Ahlfors-regular sets of exponent $s>1$. As a corollary, we improve upon a recent result of Orponen, by showing that if $A$ is Ahlfors-regular of dimension
Shmerkin, Pablo
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Some Dimensional Results of a Class of Homogeneous Moran Sets
Journal of Mathematics, 2021 In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions.
Jingru Zhang, Yanzhe Li, Manli Lou
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The horizon problem for prevalent surfaces [PDF]
, 2011 We investigate the box dimensions of the horizon of a fractal surface defined by a function $f \in C[0,1]^2 $. In particular we show that a prevalent surface satisfies the `horizon property', namely that the box dimension of the horizon is one less than ...
J. M. FRASER +5 more
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Visibility representations of boxes in 2.5 dimensions [PDF]
Computational Geometry, 2016 We initiate the study of 2.5D box visibility representations (2.5D-BR) where vertices are mapped to 3D boxes having the bottom face in the plane $z=0$ and edges are unobstructed lines of sight parallel to the $x$- or $y$-axis. We prove that: $(i)$ Every complete bipartite graph admits a 2.5D-BR; $(ii)$ The complete graph $K_n$ admits a 2.5D-BR if and ...
Arleo, Alessio +9 more
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Applied Sciences, 2023 The mechanical properties of water-rich coal and rock in a subzero environment are very different from those at room temperature, which causes many unexpected hazards for projects.
Tingxu Jin +5 more
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Remote Sensing, 2020 The Pearl River Estuary Area was selected for this study. For the past 40 years, it has been one of the most complex coasts in China, yet few studies have analyzed the complexity and variations of the area’s different coastlines.
Xinyi Hu, Yunpeng Wang
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Research on Influencing Factors of Box Dimension by Simulating Grain Storage Accumulation
Liang you shipin ke-ji, 2022 In order to study the influencing factors of grain pile permeability, the influencing factors of fractal dimension closely related to permeability were explored based on fractal theory.
CHEN Xiao-yu, LU Xin
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Rokhlin dimension for actions of residually finite groups [PDF]
, 2017 We introduce the concept of Rokhlin dimension for actions of residually finite groups on C*-algebras, extending previous notions of Rokhlin dimension for actions of finite groups and the integers, as introduced by Hirshberg, Winter and the third author ...
Szabo, Gabor +2 more
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Approximate resolutions and box-counting dimension
Topology and its Applications, 2003 The notion of approximate resolution was introduced and investigated in earlier papers of S. Mardešić and the authors [\textit{S. Mardešić} and \textit{T. Watanabe}, Glas. Mat., III. Ser. 24(44), 587--637 (1989; Zbl 0715.54009); \textit{T. Miyata} and \textit{T. Watanabe}, Topology Appl. 113, No. 1--3, 211--241 (2001; Zbl 0986.54033); \textit{T. Miyata}
Miyata, Takahisa, Watanabe, Tadashi
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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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