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Chaos, Solitons and Fractals, ISSN 0960-0779, 2011, Volume 44, Issue 4, pp. 335 - 341
► The electric field in a composite dielectric with a fractal charge distribution is observed. ► The observation is based on a relation between fractal... 
DYNAMICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | RANDOM-WALK
Journal Article
2000, Progress in probability, ISBN 9780817662158, Volume 46., x, 292
Book
2004, Progress in probability, ISBN 376437070X, Volume 57., x, 262
Book
1982, Rev. ed. of Fractals, c1977., 460 p., [1] leaf of plates
Book
COMPTES RENDUS GEOSCIENCE, ISSN 1631-0713, 05/2017, Volume 349, Issue 3, pp. 114 - 125
Determining surface morphology using synthetic aperture radar (SAR) data requires accurate topographic and microtopographic models. To distinguish different... 
BACKSCATTERING | GEOSCIENCES, MULTIDISCIPLINARY | INTEGRAL-EQUATION MODEL | Integral Equation Model (IEM) | Random Fractal Geometry | SEMIEMPIRICAL CALIBRATION | TERRASAR-X | BAND | PARAMETERS | Synthetic Aperture Radar (SAR) | SCATTERING
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2014, Volume 279, pp. 212 - 226
Journal Article
1994, Wiley series in probability and mathematical statistics., ISBN 9780471937579, xiv, 389
Book
Nature Chemistry, ISSN 1755-4330, 06/2010, Volume 2, Issue 6, pp. 472 - 477
It has long been appreciated that the transport properties of molecules can control reaction kinetics. This effect can be characterized by the time it takes a... 
ORGANIZATION | ANOMALOUS DIFFUSION | 1ST-PASSAGE TIMES | CHICKEN ERYTHROCYTE NUCLEI | FRACTAL NATURE | CHROMATIN | FLUORESCENCE | RANDOM-WALKS | MOLECULE | DYNAMICS | CHEMISTRY, MULTIDISCIPLINARY | Transcription Factors - metabolism | Animals | Humans | Transcription, Genetic | Catalysis | Kinetics | Cell Nucleus
Journal Article
Journal of Industrial Design and Engineering Graphics, ISSN 1843-3766, 05/2019, Volume 14, Issue 1, pp. 35 - 40
The fabrication of selected prototypes for experimental testing is also an ongoing part of the research. [...]in cooperation with all partners, the complete... 
Temperature | Fractal geometry | Fluid | Mathematics | Additive manufacturing | Heat exchangers | Wall thickness | Geometry | Public relations | Algorithms | Fuel cells | Flow velocity | Random variables | Lindenmayer-System | Heat Exchanger | Biomimetics | Form-Finding Methods | Fractal Geometry | Space-Filling Curves
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 02/2019, Volume 29, Issue 2, p. 023105
In this work, we consider a class of recursively grown fractal networks Gn(t) whose topology is controlled by two integer parameters, t and n. We first analyse... 
MATHEMATICS, APPLIED | TIMES | RANDOM-WALKS | DYNAMICS | PHYSICS, MATHEMATICAL | KEMENYS CONSTANT | GEOMETRY | Physics - Statistical Mechanics
Journal Article
Fractals, ISSN 0218-348X, 03/2015, Volume 23, Issue 1, pp. 1540012 - 1-1540012-9
The fractal dimension of random walker (FDRW) is an important parameter for description of electrical conductivity in porous media. However, it is somewhat... 
Fractal Dimension | Pore Fractal | Random Walker | Tortuosity | PERMEABILITY | ROCKS | MULTIDISCIPLINARY SCIENCES | PERCOLATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MASS | ARCHIES LAW | SOIL | DIFFUSION | TORTUOUS STREAMTUBES | GEOMETRY | Analysis | Models | Electrical conductivity | Fractal analysis | Media | Sponges | Fractals | Mathematical models | Porosity | Two dimensional | Three dimensional models
Journal Article
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 05/2018, Volume 38, Issue 3, pp. 982 - 1011
We consider several different models for generating random fractals including random self-similar sets, random self-affine carpets, and Mandelbrot percolation.... 
HAUSDORFF DIMENSION | MATHEMATICS | SEPARATION PROPERTIES | MATHEMATICS, APPLIED | AFFINE SETS | SELF-SIMILAR SETS | LIPSCHITZ EMBEDDINGS | V-VARIABLE FRACTALS | SIMILARITY | SIERPINSKI CARPETS | Fractal models | Carpets | Self-similarity
Journal Article
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 1/2019, Volume 61, Issue 1, pp. 140 - 159
Journal Article
1994, 2nd ed., ISBN 9783527290789, xxv 427 p., [5] p. of plates
Book
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 05/2015, Volume 22, Issue 1-3, pp. 889 - 902
•An anomalous time decay of the state variables of a simple mechanical system is obtained.•The exponent of the decay is related to the Hausdorff dimension of... 
Transport equations | Fractals | Fractional calculus | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | MODEL | PHYSICS, MATHEMATICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | RANDOM-WALKS | DIFFUSION | CALCULUS APPROACH | GEOMETRY | Laminar flow | Mathematical analysis | Porous materials | Fractal analysis | Media | Derivatives | Porosity | Transport
Journal Article
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