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Fractals and Fractal Distributions
2002Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D.
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2004
To provide a brief introduction to fractals. To introduce the notion of fractal dimension. To provide a brief introduction to multifractals and define a multifractal formalism. To consider some very simple examples.
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To provide a brief introduction to fractals. To introduce the notion of fractal dimension. To provide a brief introduction to multifractals and define a multifractal formalism. To consider some very simple examples.
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Journal of Microscopy, 2010
Fractal geometry, developed by B. Mandelbrot, has provided new key concepts necessary to the understanding and quantification of some aspects of pattern and shape randomness, irregularity, complexity and self-similarity. In the field of microscopy, fractals have profound implications in relation to the effects of magnification and scaling on morphology
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Fractal geometry, developed by B. Mandelbrot, has provided new key concepts necessary to the understanding and quantification of some aspects of pattern and shape randomness, irregularity, complexity and self-similarity. In the field of microscopy, fractals have profound implications in relation to the effects of magnification and scaling on morphology
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Critical Reviews in Food Science and Nutrition, 1993
Fractal geometry and related concepts have had only a very minor impact on food research. The very few reported food applications deal mainly with the characterization of the contours of agglomerated instant coffee particles, the surface morphology of treated starch particles, the microstructure of casein gels viewed as a product limited diffusion ...
Micha Peleg, Gustavo V. Barbosa
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Fractal geometry and related concepts have had only a very minor impact on food research. The very few reported food applications deal mainly with the characterization of the contours of agglomerated instant coffee particles, the surface morphology of treated starch particles, the microstructure of casein gels viewed as a product limited diffusion ...
Micha Peleg, Gustavo V. Barbosa
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Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques
EAGE Workshop on Non-Seismic Methods, 2008The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
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Fractal Electrodes, Fractal Membranes, and Fractal Catalysts
1991How do irregular surfaces operate? This chapter is devoted to this general question, which has been revived by the concept of fractal geometry.
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Fractal Rivers in Fractal Landscapes
Physica Scripta, 1991In the spirit of the "fractal forgeries" of Mandelbrot and Voss, the centered tile midpoint displacement algorithm of Mandelbrot is modified to introduce fractal rivers into fractal landscapes. The rivers and river networks co-evolve with the landscape to produce valleys and gulleys.
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Fractals and fractal approximation in structural mechanics
Meccanica, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal walk and walk on fractals
Technical Physics, 2004The one-dimensional walk of a particle executing instantaneous jumps between the randomly distributed “atoms” at which it resides for a random time is considered. The random distances between the neighboring atoms and the time intervals between jumps are mutually independent. The asymptotic (t → ∞) behavior of this process is studied in connection with
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2016
Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Antonio Di Ieva +2 more
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Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Antonio Di Ieva +2 more
openaire +3 more sources