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Fractal
Known as:
Fractal sets
, Fractal curve
, Fractal geometry
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A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding…
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Related topics
Related topics
50 relations
Artifact (error)
Barycentric subdivision
Beta skeleton
Box counting
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
Conformal Fractals: Ergodic Theory Methods
F. Przytycki
,
M. Urbanski
2010
Corpus ID: 21228134
Introduction Basic examples and definitions 1. Measure preserving endomorphisms 2. Compact metric spaces 3. Distance expanding…
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Highly Cited
2008
Highly Cited
2008
Cathodic Arcs: From Fractal Spots to Energetic Condensation
A. Anders
2008
Corpus ID: 92871542
A Brief History of Cathodic Arc Coating.- The Physics of Cathode Processes.- The Interelectrode Plasma.- Cathodic Arc Sources…
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Highly Cited
2004
Highly Cited
2004
The Misbehavior of Markets: A Fractal View of Risk, Ruin, and Reward
B. Mandelbrot
,
Richard L. Hudson
2004
Corpus ID: 116967801
This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don’t act now. Fractal…
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Review
2004
Review
2004
Uses and abuses of fractal methodology in ecology
J. Halley
,
S. Hartley
,
A. Kallimanis
,
W. Kunin
,
J. Lennon
,
S. Sgardelis
2004
Corpus ID: 6059069
Fractals have found widespread application in a range of scientific fields, including ecology. This rapid growth has produced…
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Highly Cited
2003
Highly Cited
2003
Fractal mobile/immobile solute transport
R. Schumer
,
D. Benson
,
M. Meerschaert
,
B. Baeumer
2003
Corpus ID: 18776229
A fractal mobile/immobile model for solute transport assumes power law waiting times in the immobile zone, leading to a…
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Highly Cited
1999
Highly Cited
1999
Fractal and Wavelet Image Compression Techniques
S. Welstead
1999
Corpus ID: 118961255
Part 1 Fractal Image Compression: Iterated Function Systems Fractal Encoding of Grayscale Images Speeding Up Fractal Encoding…
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Highly Cited
1998
Highly Cited
1998
Fractals, scaling, and growth far from equilibrium
P. Meakin
1998
Corpus ID: 119058800
This 1998 book describes the progress that had been made towards the development of a comprehensive understanding of the…
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Highly Cited
1995
Highly Cited
1995
Bayesian Learning for Neural Networks
Radford M. Neal
1995
Corpus ID: 60809283
Artificial "neural networks" are widely used as flexible models for classification and regression applications, but questions…
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Highly Cited
1984
Highly Cited
1984
Molecular fractal surfaces
D. Avnir
,
D. Farin
,
P. Pfeifer
Nature
1984
Corpus ID: 27634182
In this letter we report that, at the molecular-size range, the surfaces of most materials are fractals, that is, at this range…
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Highly Cited
1983
Highly Cited
1983
Random walks on fractal structures and percolation clusters
R. Rammal
,
G. Toulouse
1983
Corpus ID: 30740729
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they…
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