Fractals Physical Origin And Properties

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Fractals’ Physical Origin and Properties

Author : Luciano Pietronero
Publisher : Springer
ISBN 13 : 1489934995
Total Pages : 356 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fractals’ Physical Origin and Properties by : Luciano Pietronero

Download or read book Fractals’ Physical Origin and Properties written by Luciano Pietronero and published by Springer. This book was released on 2013-12-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractals' Physical Origin and Properties

Author : Luciano Pietronero
Publisher :
ISBN 13 : 9781489935007
Total Pages : 384 pages
Book Rating : 4.9/5 (35 download)

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Book Synopsis Fractals' Physical Origin and Properties by : Luciano Pietronero

Download or read book Fractals' Physical Origin and Properties written by Luciano Pietronero and published by . This book was released on 2014-09-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Surfaces

Author : John C. Russ
Publisher : Springer Science & Business Media
ISBN 13 : 1489925783
Total Pages : 313 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fractal Surfaces by : John C. Russ

Download or read book Fractal Surfaces written by John C. Russ and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multifractals and 1/ƒ Noise

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Author : Benoit B. Mandelbrot
Publisher : Springer
ISBN 13 : 1461221501
Total Pages : 448 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multifractals and 1/ƒ Noise by : Benoit B. Mandelbrot

Download or read book Multifractals and 1/ƒ Noise written by Benoit B. Mandelbrot and published by Springer. This book was released on 2013-12-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractals and Disordered Systems

Author : Armin Bunde
Publisher : Springer Science & Business Media
ISBN 13 : 3642514359
Total Pages : 363 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Fractals and Disordered Systems by : Armin Bunde

Download or read book Fractals and Disordered Systems written by Armin Bunde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference

Author : Manuel G Velarde
Publisher : World Scientific
ISBN 13 : 9814548669
Total Pages : 334 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference by : Manuel G Velarde

Download or read book Thermodynamics And Statistical Physics: Teaching Modern Physics - Proceedings Of The 4th Iupap Teaching Modern Physics Conference written by Manuel G Velarde and published by World Scientific. This book was released on 1995-10-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise the invited lectures and an edited sampling of few other contributions to the 4th Teaching Modern Physics Conference held in Badajoz (Spain) on July 1992, devoted to THERMODYNAMICS AND STATISTICAL PHYSICS: CRITICAL PHENOMENA, PHASE TRANSITIONS, NONLINEAR EVOLUTION, FRACTALS, COMPLEXITY,… COMPUTER SIMULATIONS forms the core of the contents.

Fractal Geometry and Stochastics II

Author : Christoph Bandt
Publisher : Birkhäuser
ISBN 13 : 3034883803
Total Pages : 286 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractal Geometry and Stochastics II by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics II written by Christoph Bandt and published by Birkhäuser. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Author : David Carfi
Publisher : American Mathematical Soc.
ISBN 13 : 0821891480
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by : David Carfi

Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II written by David Carfi and published by American Mathematical Soc.. This book was released on 2013-10-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Turbulence and Diffusion

Author : Oleg G. Bakunin
Publisher : Springer Science & Business Media
ISBN 13 : 3540682228
Total Pages : 269 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Turbulence and Diffusion by : Oleg G. Bakunin

Download or read book Turbulence and Diffusion written by Oleg G. Bakunin and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scaling, Fractals and Wavelets

Author : Patrice Abry
Publisher : John Wiley & Sons
ISBN 13 : 1118622901
Total Pages : 382 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Scaling, Fractals and Wavelets by : Patrice Abry

Download or read book Scaling, Fractals and Wavelets written by Patrice Abry and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractal Worlds

Author : Michael Frame
Publisher : Yale University Press
ISBN 13 : 030019787X
Total Pages : 536 pages
Book Rating : 4.3/5 (1 download)

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Book Synopsis Fractal Worlds by : Michael Frame

Download or read book Fractal Worlds written by Michael Frame and published by Yale University Press. This book was released on 2016-01-01 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
ISBN 13 : 0821836382
Total Pages : 592 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot by : Michel Laurent Lapidus

Download or read book Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Fractals, Scaling and Growth Far from Equilibrium

Author : Paul Meakin
Publisher : Cambridge University Press
ISBN 13 : 9780521452533
Total Pages : 700 pages
Book Rating : 4.4/5 (525 download)

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Book Synopsis Fractals, Scaling and Growth Far from Equilibrium by : Paul Meakin

Download or read book Fractals, Scaling and Growth Far from Equilibrium written by Paul Meakin and published by Cambridge University Press. This book was released on 1998 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Amorphous Insulators and Semiconductors

Author : M.F. Thorpe
Publisher : Springer Science & Business Media
ISBN 13 : 9780792344049
Total Pages : 544 pages
Book Rating : 4.3/5 (44 download)

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Book Synopsis Amorphous Insulators and Semiconductors by : M.F. Thorpe

Download or read book Amorphous Insulators and Semiconductors written by M.F. Thorpe and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Heavy Tailed Distributions in Finance

Author : S.T Rachev
Publisher : Elsevier
ISBN 13 : 9780080557731
Total Pages : 704 pages
Book Rating : 4.5/5 (577 download)

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Book Synopsis Handbook of Heavy Tailed Distributions in Finance by : S.T Rachev

Download or read book Handbook of Heavy Tailed Distributions in Finance written by S.T Rachev and published by Elsevier. This book was released on 2003-03-05 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series should present an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. The goal is to have a broad group of outstanding volumes in various areas of finance. The Handbook of Heavy Tailed Distributions in Finance is the first handbook to be published in this series. This volume presents current research focusing on heavy tailed distributions in finance. The contributions cover methodological issues, i.e., probabilistic, statistical and econometric modelling under non- Gaussian assumptions, as well as the applications of the stable and other non -Gaussian models in finance and risk management.

Scale in Remote Sensing and GIS

Author : Michael F. Goodchild
Publisher : Taylor & Francis
ISBN 13 : 1351417614
Total Pages : 450 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Scale in Remote Sensing and GIS by : Michael F. Goodchild

Download or read book Scale in Remote Sensing and GIS written by Michael F. Goodchild and published by Taylor & Francis. This book was released on 2023-01-13 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Journal of Fourier Analysis and Applications Special Issue

Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000674150
Total Pages : 668 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Journal of Fourier Analysis and Applications Special Issue by : John J. Benedetto

Download or read book Journal of Fourier Analysis and Applications Special Issue written by John J. Benedetto and published by CRC Press. This book was released on 2020-03-10 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.