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Fractal geometry and applications : a jubilee of Benoît Mandelbrot Geometry : multifractals, probability and statistical mechanics, applications / Michel L. Lapidus (managing editor), Machiel van Frankenhuijsen, editors.
- Format:
- Book
- Series:
- Proceedings of symposia in pure mathematics ; volume 72, part 2.
- Proceedings of symposia in pure mathematics ; volume 72, part 2
- Language:
- English
- Subjects (All):
- Measure theory--Congresses.
- Measure theory.
- Fractals--Congresses.
- Fractals.
- Ergodic theory--Congresses.
- Ergodic theory.
- Physical Description:
- 1 online resource (592 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2004]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents�Part 2""; ""Preface""; ""List of Tributes""; ""Multifractals""; ""Introduction to infinite products of independent random functions (Random multiplicative multifractal measures, Part I)""; ""Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures, Part II)""; ""Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures, Part III)""; ""Wavelet techniques in multifractal analysis""; ""The 2-microlocal formalism""
- ""A vectorial multifractal formalism""""Probability and Statistical Mechanics""; ""Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries""; ""Random fractals and Markov processes""; ""On the scaling limit of planar self-avoiding walk""; ""Conformal fractal geometry & boundary quantum gravity""; ""Applications""; ""Self-organized percolation power laws with and without fractal geometry in the etching of random solids""
- ""Nature inspired chemical engineering�Learning from the fractal geometry of nature in sustainable chemical engineering""""Fractal forgeries of nature""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).
- ISBN:
- 0-8218-9378-5
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