Editors:
- Written by top experts from all over the world
- Surveys leading from an introduction to the edge of research
- Develops tools for a deep understanding of fractals
Part of the book series: Progress in Probability (PRPR, volume 57)
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Table of contents (16 papers)
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Front Matter
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Fractal Sets and Measures
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Front Matter
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Stochastic Processes and Random Fractals
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Front Matter
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Fractal Analysis in Euclidean Space
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Front Matter
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Harmonic Analysis on Fractals
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Front Matter
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About this book
Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As in the previous volumes, which appeared in 1998 and 2000, leading experts known for clear exposition were selected as authors. They survey their field of expertise, emphasizing recent developments and open problems. Main topics include multifractal measures, dynamical systems, stochastic processes and random fractals, harmonic analysis on fractals.
Editors and Affiliations
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Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, Germany
Christoph Bandt
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Department of Physics, University of Rome La Sapienza, Roma, Italy
Umberto Mosco
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Mathematisches Institut, Friedrich-Schiller-Universität, Jena, Germany
Martina Zähle
Bibliographic Information
Book Title: Fractal Geometry and Stochastics III
Editors: Christoph Bandt, Umberto Mosco, Martina Zähle
Series Title: Progress in Probability
DOI: https://doi.org/10.1007/978-3-0348-7891-3
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 2004
Hardcover ISBN: 978-3-7643-7070-1Published: 23 July 2004
Softcover ISBN: 978-3-0348-9612-2Published: 23 October 2012
eBook ISBN: 978-3-0348-7891-3Published: 06 December 2012
Series ISSN: 1050-6977
Series E-ISSN: 2297-0428
Edition Number: 1
Number of Pages: X, 262
Topics: Geometry, Probability Theory and Stochastic Processes, Dynamical Systems and Ergodic Theory, Measure and Integration, Calculus of Variations and Optimal Control; Optimization, Mathematical Methods in Physics