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Books > Science & Mathematics > Mathematics > Applied mathematics > Fractals
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Fractals' Physical Origin and Properties (Hardcover, 1989 ed.)
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Fractals' Physical Origin and Properties (Hardcover, 1989 ed.)
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This volume contains the Proceedings of the Special Seminar on:
FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre
for Scientific Culture, Erice (Trapani), Italy. The concepts of
self-similarity and scale invariance have arisen independently in
several areas. One is the study of critical properites of phase
transitions; another is fractal geometry, which involves the
concept of (non-integer) fractal dimension. These two areas have
now come together, and their methods have extended to various
fields of physics. The purpose of this Seminar was to provide an
overview of the recent developments in the field. Most of the
contributions are theoretical, but some experimental work is also
included. Du: cing the past few years two tendencies have emerged
in this field: one is to realize that many phenomena can be
naturally modelled by fractal structures. So one can use this
concept to define simple modele and study their physical
properties. The second point of view is more microscopic and tries
to answer the question: why nature gives rise to fractal
structures. This implies the formulation of fractal growth modele
based on physical concepts and their theoretical understanding in
the same sense as the Renormalization Group method has allowed to
understand the critical properties of phase transitions
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