Fractal Geometry and Stochastics III
Editors: Bandt, Christoph, Mosco, Umberto, Zähle, Martina (Eds.)
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- About this book
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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.
- Table of contents (16 chapters)
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Markov Operators and Semifractals
Pages 3-22
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On Various Multifractal Spectra
Pages 23-42
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One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators
Pages 43-56
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Small-scale Structure via Flows
Pages 59-78
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Hausdorff Dimension of Hyperbolic Attractors in ℝ3
Pages 79-92
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Fractal Geometry and Stochastics III
- Editors
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- Christoph Bandt
- Umberto Mosco
- Martina Zähle
- Series Title
- Progress in Probability
- Series Volume
- 57
- Copyright
- 2004
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Basel AG
- eBook ISBN
- 978-3-0348-7891-3
- DOI
- 10.1007/978-3-0348-7891-3
- Hardcover ISBN
- 978-3-7643-7070-1
- Softcover ISBN
- 978-3-0348-9612-2
- Series ISSN
- 1050-6977
- Edition Number
- 1
- Number of Pages
- X, 262
- Topics
