Recent Developments In Fractal Geometry And Dynamical Systems

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Recent Developments in Fractal Geometry and Dynamical Systems

Author : Sangita Jha
Publisher : American Mathematical Society
ISBN 13 : 1470472163
Total Pages : 270 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recent Developments in Fractal Geometry and Dynamical Systems by : Sangita Jha

Download or read book Recent Developments in Fractal Geometry and Dynamical Systems written by Sangita Jha and published by American Mathematical Society. This book was released on 2024-04-18 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14–15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.

Recent Developments in Fractals and Related Fields

Author : Julien Barral
Publisher : Birkhäuser
ISBN 13 : 3319578057
Total Pages : 312 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Developments in Fractals and Related Fields by : Julien Barral

Download or read book Recent Developments in Fractals and Related Fields written by Julien Barral and published by Birkhäuser. This book was released on 2017-08-23 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île de Porquerolles, France. Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing. The book is aimed at pure and applied mathematicians in these areas, as well as other researchers interested in discovering the fractal domain.

Recent Developments in Fractals and Related Fields

Author : Julien Barral
Publisher :
ISBN 13 : 9780817648893
Total Pages : 444 pages
Book Rating : 4.6/5 (488 download)

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Book Synopsis Recent Developments in Fractals and Related Fields by : Julien Barral

Download or read book Recent Developments in Fractals and Related Fields written by Julien Barral and published by . This book was released on 2010-08-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in Fractals and Related Fields

Author : Julien Barral
Publisher : Birkhäuser
ISBN 13 : 9780817648879
Total Pages : 419 pages
Book Rating : 4.6/5 (488 download)

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Book Synopsis Recent Developments in Fractals and Related Fields by : Julien Barral

Download or read book Recent Developments in Fractals and Related Fields written by Julien Barral and published by Birkhäuser. This book was released on 2010-08-12 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?c communities with s- ni?cant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series re?ects the importance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the int- leaving of theory and applications and their creative symbiotic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has ?o- ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilizationwith diverse areas. The intricate and f- damental relationship between harmonic analysis and ?elds such as signal processing, partial di?erential equations (PDEs), and image processing is - ?ected in our state-of-the-art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time-frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.

Lectures on Fractal Geometry and Dynamical Systems

Author : Ya. B. Pesin
Publisher : American Mathematical Soc.
ISBN 13 : 0821848895
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Fractal Geometry and Dynamical Systems by : Ya. B. Pesin

Download or read book Lectures on Fractal Geometry and Dynamical Systems written by Ya. B. Pesin and published by American Mathematical Soc.. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. This book offers an introduction to these two fields, with an emphasis on the relationship between them.

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
ISBN 13 : 0821836374
Total Pages : 534 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 534 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.

Further Developments in Fractals and Related Fields

Author : Julien Barral
Publisher : Springer Science & Business Media
ISBN 13 : 081768400X
Total Pages : 296 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Further Developments in Fractals and Related Fields by : Julien Barral

Download or read book Further Developments in Fractals and Related Fields written by Julien Barral and published by Springer Science & Business Media. This book was released on 2013-02-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications. The chapters cover fields related to fractals such as: *geometric measure theory *ergodic theory *dynamical systems *harmonic and functional analysis *number theory *probability theory Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics

Author : David Carfi
Publisher : American Mathematical Soc.
ISBN 13 : 0821891472
Total Pages : 399 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics by : David Carfi

Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics written by David Carfi and published by American Mathematical Soc.. This book was released on 2013-10-22 with total page 399 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 Benoit 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 some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.

Further Developments in Fractals and Related Fields

Author : Julien Barral
Publisher : Birkhäuser
ISBN 13 : 9780817684013
Total Pages : 288 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Further Developments in Fractals and Related Fields by : Julien Barral

Download or read book Further Developments in Fractals and Related Fields written by Julien Barral and published by Birkhäuser. This book was released on 2013-02-20 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications. The chapters cover fields related to fractals such as: *geometric measure theory *ergodic theory *dynamical systems *harmonic and functional analysis *number theory *probability theory Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I

Author : David Carfi
Publisher :
ISBN 13 : 9781470410827
Total Pages : 410 pages
Book Rating : 4.4/5 (18 download)

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

Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I written by David Carfi and published by . This book was released on 2013 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Author : David Carfi
Publisher : American Mathematical Soc.
ISBN 13 : 0821891480
Total Pages : 372 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 372 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.

Geometry and Analysis of Fractals

Author : De-Jun Feng
Publisher : Springer
ISBN 13 : 3662439204
Total Pages : 360 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Geometry and Analysis of Fractals by : De-Jun Feng

Download or read book Geometry and Analysis of Fractals written by De-Jun Feng and published by Springer. This book was released on 2014-08-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics.

Chaos, Dynamics, and Fractals

Author : Joseph L. McCauley
Publisher : Cambridge University Press
ISBN 13 : 1107393272
Total Pages : 345 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Chaos, Dynamics, and Fractals by : Joseph L. McCauley

Download or read book Chaos, Dynamics, and Fractals written by Joseph L. McCauley and published by Cambridge University Press. This book was released on 1994-05-26 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.

The Beauty of Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 3642617174
Total Pages : 214 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Beauty of Fractals by : Heinz-Otto Peitgen

Download or read book The Beauty of Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns

Author : Santo Banerjee
Publisher : Springer
ISBN 13 : 9783031586408
Total Pages : 0 pages
Book Rating : 4.5/5 (864 download)

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Book Synopsis Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns by : Santo Banerjee

Download or read book Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns written by Santo Banerjee and published by Springer. This book was released on 2024-07-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems - 2023 (ISMAFDS - 2023), held at the Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Tamil Nadu in India during August 24-25, 2023. It offers readers an array of captivating connections between fractal theory and nonlinear dynamics across various physics sub-domains and mathematical modeling. Fractal geometry has been developed to describe irregular natural objects that defy characterization using Euclidean geometry. Fractal techniques, such as fractal dimension and fractal functions, prove effective in mathematically modeling real-world phenomena and forecasting future consequences. The impact of fractal theory on physical sciences is widely recognized, as natural phenomena frequently exhibit fractal structures. These new concepts revolutionize our understanding of the large-scale properties of matter distribution in the universe. The book aims to familiarize readers with recent developments in common fractal patterns found in statistical physics, quantum physics, and plasma physics. Furthermore, it highlights the relationship between fractals and nonlinear dynamics through innovative approaches in mathematical modeling. This publication caters to professionals in mathematics, physics, and computer science, and also serves as a helpful resource for non-specialists seeking to comprehend fractal and nonlinear dynamics concepts. It offers valuable applications for researchers in both pure and applied backgrounds of physics and engineering.

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

Author : Vyjayanthi Chari
Publisher : American Mathematical Soc.
ISBN 13 : 0821890379
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari

Download or read book Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory written by Vyjayanthi Chari and published by American Mathematical Soc.. This book was released on 2013-11-25 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, Riverside, CA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalizations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.

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.