Fluctuations and Fractal Structure
Author | : Rudolph C. Hwa |
Publisher | : |
Total Pages | : 361 |
Release | : 1992 |
Genre | : |
ISBN | : |
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Author | : Rudolph C. Hwa |
Publisher | : |
Total Pages | : 361 |
Release | : 1992 |
Genre | : |
ISBN | : |
Author | : Rudolph C Hwa |
Publisher | : World Scientific |
Total Pages | : 378 |
Release | : 1992-03-27 |
Genre | : |
ISBN | : 981455555X |
The fractal structure of multiplicity fluctuations ('intermittency') in high energy multiparticle production is discussed with experimental results from fixed target and collider experiments on e+e-, p, hadronic and nuclear collisions. Theoretical investigations concern the selfsimilar dynamics of particle cascades and quark-gluon-plasma as well as the structure of particle correlations
Author | : Luciano Pietronero |
Publisher | : Springer |
Total Pages | : 356 |
Release | : 2013-12-19 |
Genre | : Medical |
ISBN | : 1489934995 |
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.
Author | : Jean-François Gouyet |
Publisher | : Elsevier Masson |
Total Pages | : 260 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : |
Author | : Miroslav M Novak |
Publisher | : World Scientific |
Total Pages | : 500 |
Release | : 1997-03-29 |
Genre | : |
ISBN | : 9814546062 |
Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation. While this 'reductionist' approach has been extremely successful, there are phenomena of such complexity that one cannot simplify them without eliminating the problem itself. Recently, attention has turned to such problems in a wide variety of fields. This is in part due to the development of fractal geometry. Fractal geometry provides the mathematical tools for handling complexity. The present volume is a collection of papers that deal with the application of fractals in both traditional scientific disciplines and in applied fields. This volume shows the advance of our understanding of complex phenomena across a spectrum of disciplines. While these diverse fields work on very different problems, fractals provide a unifying formalism for approaching these problems.
Author | : Gabriele A. Losa |
Publisher | : Birkhäuser |
Total Pages | : 354 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034881193 |
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.
Author | : Miroslav M Novak |
Publisher | : World Scientific |
Total Pages | : 374 |
Release | : 1998-08-25 |
Genre | : |
ISBN | : 9814544507 |
One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry. Tremendous progress has been made in this field since its inception some two decades ago. This book collects the papers at the cutting-edge, reflecting the current status of fractals. With its special emphasis on the multidisciplinary research, the book represents a unique contribution to the understanding of the complex phenomena in nature.
Author | : Philip M. Iannaccone |
Publisher | : CRC Press |
Total Pages | : 448 |
Release | : 1996-07-25 |
Genre | : Science |
ISBN | : 9780849376368 |
Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.
Author | : James B Bassingthwaighte |
Publisher | : Springer |
Total Pages | : 371 |
Release | : 2013-05-27 |
Genre | : Medical |
ISBN | : 1461475724 |
I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
Author | : Hideki Takayasu |
Publisher | : Manchester University Press |
Total Pages | : 196 |
Release | : 1990 |
Genre | : Fractals |
ISBN | : 9780719034343 |