Fractals Physical Origin And Properties

Author : Luciano Pietronero
Publisher : Springer
Page : 356 pages
File Size : 50,6 Mb
Release : 2013-12-19
Category : Medical
ISBN : 9781489934994

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Fractals’ Physical Origin and Properties by Luciano Pietronero Pdf

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 : Luciano Pietronero
Publisher : Unknown
Page : 384 pages
File Size : 40,8 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 1489935002

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Fractals' Physical Origin and Properties by Luciano Pietronero Pdf

Author : John C. Russ
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 44,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489925787

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Fractal Surfaces by John C. Russ Pdf

The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Author : Benoit B. Mandelbrot
Publisher : Springer
Page : 448 pages
File Size : 53,9 Mb
Release : 2013-12-20
Category : Mathematics
ISBN : 9781461221500

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Multifractals and 1/ƒ Noise by Benoit B. Mandelbrot Pdf

Mandelbrot is a world renowned scientist, known for his pioneering research in fractal geometry and chaos theory. In this volume, Mandelbrot defends the view that multifractals are intimately interrelated through the two fractal themes of "wildness" and "self-affinity". This link involves a powerful collection of technical tools, which are of use to diverse scientific communities. Among the topics covered are: 1/f noise, fractal dimension and turbulence, sporadic random functions, and a new model for error clustering on telephone circuits.

Author : Jaun-Manuel Garcia-Ruiz,Enrique Louis,P. Meakin,Leonard M. Sander
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461528524

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Growth Patterns in Physical Sciences and Biology by Jaun-Manuel Garcia-Ruiz,Enrique Louis,P. Meakin,Leonard M. Sander Pdf

During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642848681

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Fractals and Disordered Systems by Armin Bunde,Shlomo Havlin Pdf

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.

Author : M.F. Thorpe,M.I. Mitkova
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 50,5 Mb
Release : 1997-01-31
Category : Science
ISBN : 0792344049

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Amorphous Insulators and Semiconductors by M.F. Thorpe,M.I. Mitkova Pdf

The aim of this NATO ASI has been to present an up-to-date overview of current areas of interest in amorphous materials. In order to limit the material to a manageable amount, the meeting was concerned exclusively with insulating and semiconducting materials. The lectures and seminars fill the gap between graduate courses and research seminars. The lecturers and seminar speakers were chosen as experts in their respective areas and the lectures and seminars that were given are presented in this volume. During the first week of the meeting. an emphasis was placed on introductory lectures, mainly associated with questions relating to the glass-formation and the structure of glasses. The second week focused more on research seminars. Each day of the meeting. about four posters were presented during the coffee breaks, and these formed an important focus for discussions. The posters are not reproduced in this volume as the editors wanted to have only larger contributions to make this volume more coherent. This volume is organized into four sections, starting with general considerations of the glass forming ability and techniques for the preparation of different kinds of glasses.

Author : Paul Meakin
Publisher : Cambridge University Press
Page : 700 pages
File Size : 46,5 Mb
Release : 1998
Category : Mathematics
ISBN : 0521452538

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Fractals, Scaling and Growth Far from Equilibrium by Paul Meakin Pdf

A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Author : Patrice Abry,Paolo Goncalves,Jacques Levy Vehel
Publisher : John Wiley & Sons
Page : 382 pages
File Size : 47,8 Mb
Release : 2013-03-01
Category : Mathematics
ISBN : 9781118622902

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Scaling, Fractals and Wavelets by Patrice Abry,Paolo Goncalves,Jacques Levy Vehel Pdf

Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

Author : Michael Frame,Amelia Urry
Publisher : Yale University Press
Page : 536 pages
File Size : 53,8 Mb
Release : 2016-01-01
Category : Mathematics
ISBN : 9780300197877

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Fractal Worlds by Michael Frame,Amelia Urry Pdf

In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology

Author : Michael F. Goodchild,Dale A. Quattrochi
Publisher : Taylor & Francis
Page : 450 pages
File Size : 55,6 Mb
Release : 2023-01-13
Category : Technology & Engineering
ISBN : 9781351417617

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Scale in Remote Sensing and GIS by Michael F. Goodchild,Dale A. Quattrochi Pdf

The recent emergence and widespread use of remote sensing and geographic information systems (GIS) has prompted new interest in scale as a key component of these and other geographic information technologies. With a balanced mixture of concepts, practical examples, techniques, and theory, Scale in Remote Sensing and GIS is a guide for students and users of remote sensing and GIS who must deal with the issues raised by multiple temporal and spatial scales. Sixteen pages of full-color photographs help demonstrate key points made in the text.

Author : David Carfi,Michel L. Lapidus,Erin P. J. Pearse,Machiel van Frankenhuijsen
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 44,6 Mb
Release : 2013-10-24
Category : Mathematics
ISBN : 9780821891483

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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by David Carfi,Michel L. Lapidus,Erin P. J. Pearse,Machiel van Frankenhuijsen Pdf

This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

Author : Oleg G. Bakunin
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 43,7 Mb
Release : 2008-08-15
Category : Science
ISBN : 9783540682226

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Turbulence and Diffusion by Oleg G. Bakunin Pdf

This book is intended to serve as an introduction to the multidisciplinary ?eld of anomalous diffusion in complex systems such as turbulent plasma, convective rolls, zonal ?ow systems, stochastic magnetic ?elds, etc. In spite of its great importance, turbulent transport has received comparatively little treatment in published mo- graphs. This book attempts a comprehensive description of the scaling approach to turbulent diffusion. From the methodological point of view, the book focuses on the general use of correlation estimates, quasilinear equations, and continuous time random walk - proach. I provide a detailed structure of some derivations when they may be useful for more general purposes. Correlation methods are ?exible tools to obtain tra- port scalings that give priority to the richness of ingredients in a physical pr- lem. The mathematical description developed here is not meant to provide a set of “recipes” for hydrodynamical turbulence or plasma turbulence; rather, it serves to develop the reader’s physical intuition and understanding of the correlation mec- nisms involved.

Author : Christoph Bandt,Siegfried Graf,Martina Zähle
Publisher : Birkhäuser
Page : 286 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883801

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Fractal Geometry and Stochastics II by Christoph Bandt,Siegfried Graf,Martina Zähle Pdf

A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stochastic methods. Clear expositions introduce the most recent results and problems on these subjects and give an overview of their historical development.

Author : Loucas G. Christophorou,D.R. James
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 43,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489912954

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Gaseous Dielectrics VII by Loucas G. Christophorou,D.R. James Pdf

The Seventh International Symposium on Gaseous Dielectrics was held in Knoxville, Tennessee, U. S. A. , on April 24-28, 1994. The symposium continued the interdisciplinary character and comprehensive approach of the preceding six symposia. Gaseous DielecIries VII is a detailed record of the symposium proceedings. It covers recent advances and developments in a wide range of basic, applied and industrial areas of gaseous dielectrics. It is hoped that Gaseous DielecIries VII will aid future research and development in, and encourage wider industrial use of, gaseous dielectrics. The Organizing Committee of the Seventh International Symposium on Gaseous Dielectrics consisted of G. Addis (U. S. A. ), L. G. Christophorou (U. S. A. ), F. Y. Chu (Canada), A. H. Cookson (U. S. A. ), O. Farish (U. K. ), I. Gallimberti (Italy) , A. Garscadden (U. S. A. ), D. R. James (U. S. A. ), E. Marode (France), T. Nitta (Japan), W. Pfeiffer (Germany), Y. Qiu (China), I. Sauers (U. S. A. ), R. J. Van Brunt (U. S. A. ), and W. Zaengl (Switzerland). The local arrangements committee consisted of members of the Health Sciences Research Division and personnel of the Conference Office of the Oak Ridge National Laboratory, and staff of the University of Tennessee (UTK). The contributions of each member of these committees, the work of the Session Chairmen, the interest of the participants, and the advice of innumerable colleagues are gratefully acknowledged. I am especially indebted to Dr. Isidor Sauers, Dr. David R. James, Mrs.