Results 41 to 50 of about 130,460 (340)
Fractal Dimension of Backbone of Eden Trees [PDF]
, 1996 We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dynamical exponent z. In two dimensions, it gives fractal dimension of backbone equal to 4/3 and spectral dimension of trees equal to 5/4.
Dhar, D., Manna, S. S.
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Estimating the Dimension of a Fractal
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1991 SUMMARY We suggest refinements of the box counting method which address the obvious problems caused by the incomplete information and inaccessibility of the limit. A method for the statistical analysis of these corrected data is developed and tested on simulated and real data.
Charles C. Taylor, James R. Taylor
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Study of the development of three-dimensional sets of fluid particles and iso-concentration fields using kinematic simulation [PDF]
, 2004 We use kinematic simulation (KS) to study the development of a material line immersed in a three-dimensional turbulent flow. We generalize this study to a material surface, cube and sphere.
Elmaihy, A., Nicolleau, F.C.G.A.
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Rock Mechanical Property Influenced by Inhomogeneity
Advances in Materials Science and Engineering, 2012 In order to identify the microstructure inhomogeneity influence on rock mechanical property, SEM scanning test and fractal dimension estimation were adopted.
Yunliang Tan, Dongmei Huang, Ze Zhang
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Fractal and Fractional, 2023 It is of great significance to understand the particle distribution characteristics at different heights to effectively control particle pollution. Based on fractal theory, the fractal dimension of outdoor particles in a high-rise building in Xi’an and ...
Fuquan Liu +3 more
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Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks [PDF]
, 2007 We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality $C$ of nodes is much weaker in fractal network models compared to ...
Havlin, Shlomo +5 more
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From rock microstructure to macromechanical properties based on fractal dimensions
Advances in Mechanical Engineering, 2019 Basic rock mechanical parameters, that is, the uniaxial compressive strength σ c and elastic modulus E , have close relationships with the fractal dimension and inhomogeneity.
Dongmei Huang +4 more
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Numerical Simulation of Rockfill Materials Based on Fractal Theory
Applied Sciences, 2021 With the use of the particle flow code in two dimensions, a fractal model is established with the number of particles of different particle fractions used as the statistics to study the fractal characteristics of particle size distribution.
Hongxing Han +4 more
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The scattering from generalized Cantor fractals
, 2010 We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in ...
A. I. Kuklin +28 more
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Martingale dimensions for fractals
The Annals of Probability, 2008 We prove that the martingale dimensions for canonical diffusion processes on a class of self-similar sets including nested fractals are always one. This provides an affirmative answer to the conjecture of S. Kusuoka [Publ. Res. Inst. Math. Sci. 25 (1989) 659--680].
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