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Reviews of Modern Physics, ISSN 0034-6861, 01/2009, Volume 81, Issue 1, pp. 333 - 386
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2008, Volume 218, Issue 6, pp. 2051 - 2088
We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an... 
Iterated function system | Markov chain | V-variable fractal | Random fractal | Fractal | Superfractal | Chaos game | iterated function system | random fractal | ITERATED FUNCTION SYSTEMS | MARKOV-PROCESSES | MATHEMATICS | MAPS | superfractal | ERGODIC THEOREM | fractal | chaos game | CONSTRUCTIONS | CHAINS | Markov processes | Naturvetenskap | Mathematics | Natural Sciences | Matematik
Journal Article
Knowledge-Based Systems, ISSN 0950-7051, 02/2015, Volume 75, pp. 1 - 18
Journal Article
Journal of Applied Crystallography, ISSN 1600-5767, 02/2014, Volume 47, Issue 1, pp. 198 - 206
Small‐angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power‐law regimes with various... 
multiphase systems | crossover positions | deterministic and random fractals | small‐angle scattering | small-angle scattering | X-RAY | SYSTEMS | CRYSTALLOGRAPHY | Proteins | Analysis | Crystallography | Scattering | Fractals | SAS | Exponents | Fractal analysis | Mathematical models | Density | Crossovers
Journal Article
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 3/2018, Volume 31, Issue 1, pp. 68 - 92
We consider on-diagonal heat kernel estimates and the laws of the iterated logarithm for a switch-walk-switch random walk on a lamplighter graph under the... 
60J10 | Random walks | Probability Theory and Stochastic Processes | Mathematics | Fractals | Statistics, general | Laws of the iterated logarithm (LILs) | Sub-Gaussian estimates | Heat kernels | 60J35 | Wreath products | 60J55 | SOLUBLE GROUPS | STATISTICS & PROBABILITY | ESCAPE | GRAPHS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2012, Volume 85, Issue 5, p. 056314
This paper is devoted to fractal continuum hydrodynamics and its application to model fluid flows in fractally permeable reservoirs. Hydrodynamics of fractal... 
FRACTURED RESERVOIRS | DYNAMICAL PROPERTIES | ANOMALOUS DIFFUSION | HYDRAULIC CONDUCTIVITY | RANDOM-WALKS | PHYSICS, FLUIDS & PLASMAS | PUMPING TESTS | RADIAL FLOW | PHYSICS, MATHEMATICAL | FRACTIONAL VECTOR CALCULUS | GAUSS-GREEN THEOREM | SCALE DEPENDENCY
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
Inventiones mathematicae, ISSN 0020-9910, 5/2019, Volume 216, Issue 2, pp. 337 - 394
We extend results of Y. Benoist and J.-F. Quint concerning random walks on homogeneous spaces of simple Lie groups to the case where the measure defining the... 
Mathematics, general | Mathematics | MATHEMATICS | Geometric transformation | Approximation | Mathematical analysis | Fractal transforms | Random walk | Lie groups | Random walk theory | Fractals | Self-similarity
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 02/2014, Volume 2014, Issue 2, pp. P02020 - 11
In this work, we study the fractal and multifractal properties of a family of fractal networks introduced by Callus et al (2007 Proc. Nat. Acad. Sci. USA 104... 
network dynamics | networks | random graphs | CHAOS GAME REPRESENTATION | COMPLEX | MECHANICS | SEQUENCES | PHYSICS, MATHEMATICAL | Networks | Brackets | Fractal analysis | Fractals | Mathematical models | Statistical mechanics | Empirical analysis | Tuning | Physics - Statistical Mechanics
Journal Article
Journal of Applied Crystallography, ISSN 1600-5767, 08/2010, Volume 43, Issue 4, pp. 790 - 797
A fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set, is considered. In contrast with the usual Cantor... 
Cantor sets | small‐angle neutron scattering | non‐random fractals | small‐angle X‐ray scattering | small-angle neutron scattering | small-angle X-ray scattering | non-random fractals | ORGANIZATION | CRYSTALLOGRAPHY | ANGLE X-RAY | NEUTRON-SCATTERING | Exponents | Mathematical analysis | Fractal analysis | Scattering | Fractals | Minima | Maxima | Three dimensional
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 07/2016, Volume 49, Issue 35, p. 355001
Comb geometry, constituted of a backbone and fingers, is one of the most simple paradigm of a two-dimensional structure, where anomalous diffusion can be... 
fractal dimension | fractional derivatives | anomalous diffusion | fractal comb | Lévy processes | MODELS | PHYSICS, MULTIDISCIPLINARY | RANDOM-WALKS | Levy processes | EQUATIONS | PHYSICS, MATHEMATICAL | FRACTIONAL DIFFUSION
Journal Article
Current Opinion in Food Science, ISSN 2214-7993, 06/2018, Volume 21, pp. 39 - 45
Particle gels in food. Fractals in fat via box counting method. Fractals in inulin gels via rheological measurements. The present paper reviews and discusses... 
OILS | FAT CRYSTALS | ELASTIC PROPERTIES | RANDOM-WALKS | FOOD SCIENCE & TECHNOLOGY | COLLOIDAL GELS | RHEOLOGY | INULIN GELS | NETWORKS | SCALING BEHAVIOR
Journal Article