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Hausdorff Dimension and Topological Entropies of a Solenoid
Entropy, 2020 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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Determining method of multiscale fractal dimension of red bed sandstone pores based on CT scanning
地质科技通报, 2022 The distribution of pore structure inside rock has fractal characteristics in statistical sense, the determination of itsfractal dimension is of great significance to characterize the distribution law of pore structure quantitatively and reveal various ...
Zihan Zhang +3 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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Pressure, Poincaré series and box dimension of the boundary [PDF]
Nonlinearity, 2021 AbstractIn this note we prove two related results. First, we show that for certain Markov interval maps with infinitely many branches the upper box dimension of the boundary can be read from the pressure of the geometric potential. Secondly, we prove that the box dimension of the set of iterates of a point in∂Hnwith respect to a parabolic subgroup of ...
Iommi, Godofredo, Velozo, Anibal
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Journal of Business Economics and Management, 2008 This paper focuses on the management of small businesses in Russia. Despite the growing importance of the Russian small business sector, there are surprisingly few empirical studies focusing on this topic.
Jari Jumpponen +2 more
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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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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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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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Results in Engineering, 2020 Fractal dimension is an appropriate indicator to describe the complexity of a certain geometry, and box-counting analysis is proved to be an effective and appropriate method for fractal dimension estimation which is widely used.
Jiaxin Wu, Xin Jin, Shuo Mi, Jinbo Tang
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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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