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Progress in Probability

# Fractal Geometry and Stochastics

Editors: Bandt, Christoph, Graf, Siegfried, Zähle, Martina (Eds.)

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eBook $109.00 price for USA • ISBN 978-3-0348-7755-8 • Digitally watermarked, DRM-free • Included format: PDF • ebooks can be used on all reading devices • Immediate eBook download after purchase Softcover$149.99
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Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between these two fields. It contains contributions by outstanding mathematicians and is meant to highlight the principal directions of research in the area. The contributors were the main speakers attending the conference "Fractal Geometry and Stochastics" held at Finsterbergen, Germany, in June 1994. This was the first international conference ever to be held on the topic. The book is addressed to mathematicians and other scientists who are interested in the mathematical theory concerning: • Fractal sets and measures • Iterated function systems • Random fractals • Fractals and dynamical systems, and • Harmonic analysis on fractals. The reader will be introduced to the most recent results in these subjects. Researchers and graduate students alike will benefit from the clear expositions.

• Probabilistic Methods in Fractal Geometry

Pages 3-13

Falconer, Kenneth J.

• Measures of Fractal Lacunarity: Minkowski Content and Alternatives

Pages 15-42

Mandelbrot, Benoit B.

• Tangent Measures, Densities, and Singular Integrals

Pages 43-52

Mattila, Pertti

• Self-Similarity, L p -Spectrum and Multifractal Formalism

Pages 55-90

Lau, Ka-Sing

• Infinite Iterated Function Systems: Theory and Applications

Pages 91-110

Mauldin, R. Daniel

eBook $109.00 price for USA • ISBN 978-3-0348-7755-8 • Digitally watermarked, DRM-free • Included format: PDF • ebooks can be used on all reading devices • Immediate eBook download after purchase Softcover$149.99
price for USA

## Bibliographic Information

Bibliographic Information
Book Title
Fractal Geometry and Stochastics
Editors
• Christoph Bandt
• Siegfried Graf
• Martina Zähle
Series Title
Progress in Probability
Series Volume
37
1995
Publisher
Birkhäuser Basel
Springer Basel AG
eBook ISBN
978-3-0348-7755-8
DOI
10.1007/978-3-0348-7755-8
Softcover ISBN
978-3-0348-7757-2
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XI, 248
Number of Illustrations
5 b/w illustrations
Topics

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