Results 81 to 90 of about 4,030,244 (281)

Fractal Dimension of Disordered Submonolayers: Determination from He Scattering Data

, 1996
We propose a novel method to measure the fractal dimension of a submonolayer metal adatom system grown under conditions of limited diffusivity on a surface.
A.T. Yinnon, Bott, Brune, D.A. Hamburger, Esbjerg, Gerber, Gerber, Grebogi, Hamburger, Hamburger, Hwang, Jensen, Lang, Mandelbrot, Petrella, Petrella, Pfeifer, Poelsema, R.B. Gerber, Teixeira, Umberger, Vicsek, Witten, Yinnon   +23 more
core   +2 more sources

A survey on fractal dimension for fractal structures

, 2016
Along the years, the foundations of Fractal Geometry have received contributions starting from mathematicians like Cantor, Peano, Hilbert, Hausdorff, Carathéodory, Sierpiński, and Besicovitch, to quote some of them.
M. Fernández-Martínez
semanticscholar   +1 more source

Fractal Analysis of Fragmentation Distribution of Rockbursts Induced by Low-Frequency Seismic Disturbances

Advances in Civil Engineering, 2021
Low-frequency seismic disturbances frequently induce violent rockburst hazards, seriously threatening the safety of deep excavation and mining engineering.
Lihua Hu, Zhenghu Zhang, Xin Liang, Chunan Tang   +3 more
doaj   +1 more source

Classical Liquids in Fractal Dimension [PDF]

Physical Review Letters, 2015
We introduce fractal liquids by generalizing classical liquids of integer dimensions $d = 1, 2, 3$ to a fractal dimension $d_f$. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same non-integer dimension.
Heinen, Marco, Schnyder, Simon K., Brady, John F., Löwen, Hartmut   +3 more
openaire   +4 more sources

Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise

, 2015
In this paper, we first present some conditions for bounding the fractal dimension of a random invariant set of a non-autonomous random dynamical system on a separable Banach space.
Shengfan Zhou, Min Zhao
semanticscholar   +1 more source

Quantification of Tortuosity and Fractal Dimension of the Lung Vessels in Pulmonary Hypertension Patients

PLoS ONE, 2014
Pulmonary hypertension (PH) can result in vascular pruning and increased tortuosity of the blood vessels. In this study we examined whether automatic extraction of lung vessels from contrast-enhanced thoracic computed tomography (CT) scans and ...
M. Helmberger, M. Pienn, M. Urschler, P. Kullnig, R. Stollberger, G. Kovacs, A. Olschewski, H. Olschewski, Z. Bálint   +8 more
semanticscholar   +1 more source

Fractal Dimension versus Process Complexity [PDF]

Advances in Mathematical Physics, 2016
We look at small Turing machines (TMs) that work with just two colors (alphabet symbols) and either two or three states. For any particular such machineτand any particular inputx, we consider what we call thespace-timediagram which is basically the collection of consecutive tape configurations of the computationτ(x).
Joost J. Joosten, Fernando Soler-Toscano, Hector Zenil   +2 more
openaire   +7 more sources

Convergent Calculation of the Asymptotic Dimension of Diffusion Limited Aggregates: Scaling and Renormalization of Small Clusters

, 2000
Diffusion Limited Aggregation (DLA) is a model of fractal growth that had attained a paradigmatic status due to its simplicity and its underlying role for a variety of pattern forming processes.
Anders Levermann, B. Davidovitch, B. Davidovitch, B. Davidovitch, B.B. Mandelbrot, Benny Davidovitch, H.G.E. Hentschel, Itamar Procaccia, J. Nittman, L. Niemeyer, M.B. Hastings, P. Meakin, P.L. Duren, R.M. Brady, T.A. Witten, T.C. Halsey, T.C. Halsey   +16 more
core   +1 more source

Predictive Modeling of High Temperature Performance of SMA-13 Cold Patch Asphalt Mixture Based on Fractal Theory [PDF]

E3S Web of Conferences
In order to study the relationship between the high temperature performance of cold-patched asphalt mixtures and gradation fractal, 13 groups of SMA-13 asphalt mixtures were designed, and high temperature rutting test was carried out to study the high ...
Sun Zhaohui, Guo Ke, Xie Jieru
doaj   +1 more source

Fractal Dimensions of Particle Size Distribution in Littoral Sandstones of Carboniferous Donghetang Formation in Hade Oilfield, Tarim Basin, NW China

Fractal and Fractional
Fractal theory of particle size distribution (PSD) is a widely used approach in soil science. However, fractal studies on sandstone PSDs are scarce in sedimentology and geology.
Rui Yuan, Qi Sun, Manli Zhan, Wenlu Liu, Ye Sun, Siyi Wang, Yufei Yuan   +6 more
doaj   +1 more source