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Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot: Multifractals, Probability and Statistical Mechanics, Applications

Edited by: Michel L. Lapidus University of California, Riverside, CA
Machiel van Frankenhuijsen Utah Valley State College, Orem, UT
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Hardcover ISBN: 978-0-8218-3638-5
Product Code: PSPUM/72.2
List Price: $128.00 MAA Member Price:$115.20
AMS Member Price: $102.40 Electronic ISBN: 978-0-8218-9378-4 Product Code: PSPUM/72.2.E List Price:$120.00
MAA Member Price: $108.00 AMS Member Price:$96.00
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List Price: $192.00 MAA Member Price:$172.80
AMS Member Price: $153.60 Click above image for expanded view Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot: Multifractals, Probability and Statistical Mechanics, Applications Edited by: Michel L. Lapidus University of California, Riverside, CA Machiel van Frankenhuijsen Utah Valley State College, Orem, UT Available Formats:  Hardcover ISBN: 978-0-8218-3638-5 Product Code: PSPUM/72.2  List Price:$128.00 MAA Member Price: $115.20 AMS Member Price:$102.40
 Electronic ISBN: 978-0-8218-9378-4 Product Code: PSPUM/72.2.E
 List Price: $120.00 MAA Member Price:$108.00 AMS Member Price: $96.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$192.00 MAA Member Price: $172.80 AMS Member Price:$153.60
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 722004; 574 pp
MSC: Primary 28; 11; 37; 60; 68; 82;

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.

Graduate students and research mathematicians interested in fractal geometry and its applications.

This item is also available as part of a set:

• Multifractals
• Julien Barral and Benoît B. Mandelbrot - Introduction to infinite products of independent random functions (Random multiplicative multifractal measures. I) [ MR 2112119 ]
• Julien Barral and Benoît B. Mandelbrot - Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures. II) [ MR 2112120 ]
• Julien Barral - Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures. III) [ MR 2112121 ]
• Stéphane Jaffard - Wavelet techniques in multifractal analysis [ MR 2112122 ]
• Jacques Lévy Véhel and Stéphane Seuret - The 2-microlocal formalism [ MR 2112123 ]
• Jacques Peyrière - A vectorial multifractal formalism [ MR 2112124 ]
• Probability and statistical mechanics
• Ben M. Hambly and Takashi Kumagai - Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries [ MR 2112125 ]
• Yimin Xiao - Random fractals and Markov processes [ MR 2112126 ]
• Gregory F. Lawler, Oded Schramm and Wendelin Werner - On the scaling limit of planar self-avoiding walk [ MR 2112127 ]
• Bertrand Duplantier - Conformal fractal geometry & boundary quantum gravity [ MR 2112128 ]
• Applications
• Agnès Desolneux, Bernard Sapoval and Andrea Baldassarri - Self-organized percolation power laws with and without fractal geometry in the etching of random solids [ MR 2112129 ]
• Marc-Olivier Coppens - Nature inspired chemical engineering learning from the fractal geometry of nature in sustainable chemical engineering [ MR 2112130 ]
• F. Kenton Musgrave - Fractal forgeries of nature [ MR 2112131 ]
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 722004; 574 pp
MSC: Primary 28; 11; 37; 60; 68; 82;

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.

Graduate students and research mathematicians interested in fractal geometry and its applications.

This item is also available as part of a set:
• Multifractals
• Julien Barral and Benoît B. Mandelbrot - Introduction to infinite products of independent random functions (Random multiplicative multifractal measures. I) [ MR 2112119 ]
• Julien Barral and Benoît B. Mandelbrot - Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures. II) [ MR 2112120 ]
• Julien Barral - Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures. III) [ MR 2112121 ]
• Stéphane Jaffard - Wavelet techniques in multifractal analysis [ MR 2112122 ]
• Jacques Lévy Véhel and Stéphane Seuret - The 2-microlocal formalism [ MR 2112123 ]
• Jacques Peyrière - A vectorial multifractal formalism [ MR 2112124 ]
• Probability and statistical mechanics
• Ben M. Hambly and Takashi Kumagai - Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries [ MR 2112125 ]
• Yimin Xiao - Random fractals and Markov processes [ MR 2112126 ]
• Gregory F. Lawler, Oded Schramm and Wendelin Werner - On the scaling limit of planar self-avoiding walk [ MR 2112127 ]
• Bertrand Duplantier - Conformal fractal geometry & boundary quantum gravity [ MR 2112128 ]
• Applications
• Agnès Desolneux, Bernard Sapoval and Andrea Baldassarri - Self-organized percolation power laws with and without fractal geometry in the etching of random solids [ MR 2112129 ]
• Marc-Olivier Coppens - Nature inspired chemical engineering learning from the fractal geometry of nature in sustainable chemical engineering [ MR 2112130 ]
• F. Kenton Musgrave - Fractal forgeries of nature [ MR 2112131 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.