Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot PDF

Author: Michel Laurent Lapidus

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 760

ISBN-13: 9780821836378

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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.

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot PDF

Author: Michel Laurent Lapidus

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 534

ISBN-13: 0821836374

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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.

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot PDF

Author: Michel Laurent Lapidus

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 592

ISBN-13: 0821836382

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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.

Fractal Geometry and Applications

Fractal Geometry and Applications PDF

Author:

Publisher:

Published: 2014-06-06

Total Pages: 534

ISBN-13:

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Offers a selection of articles about fractal geometry. This book describes the contemporary advances in and around fractal geometry. It is suitable for graduate students and researchers interested in fractal geometry and its applications.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II PDF

Author: David Carfi

Publisher: American Mathematical Soc.

Published: 2013-10-24

Total Pages: 384

ISBN-13: 0821891480

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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.

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

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

Author: David Carfi

Publisher: American Mathematical Soc.

Published: 2013-10-22

Total Pages: 410

ISBN-13: 0821891472

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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.

The Fractal Geometry of Nature

The Fractal Geometry of Nature PDF

Author: Benoit Mandelbrot

Publisher: Echo Point Books & Media, LLC

Published: 2021-07-16

Total Pages: 0

ISBN-13: 9781648370403

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Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Horizons of Fractal Geometry and Complex Dimensions

Horizons of Fractal Geometry and Complex Dimensions PDF

Author: Robert G. Niemeyer

Publisher: American Mathematical Soc.

Published: 2019-06-26

Total Pages: 302

ISBN-13: 1470435810

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This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

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