Progress in Probability

Fractal Geometry and Stochastics III

Editors: Bandt, Christoph, Mosco, Umberto, Zähle, Martina (Eds.)

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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.

Table of contents (16 chapters)

  • Markov Operators and Semifractals

    Lasota, Andrzej (et al.)

    Pages 3-22

  • On Various Multifractal Spectra

    Véhel, Jacques Lévy (et al.)

    Pages 23-42

  • One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators

    Wen, Zhi-Ying

    Pages 43-56

  • Small-scale Structure via Flows

    Fisher, Albert M.

    Pages 59-78

  • Hausdorff Dimension of Hyperbolic Attractors in ℝ3

    Simon, Károly

    Pages 79-92

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-7891-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7643-7070-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-0348-9612-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fractal Geometry and Stochastics III
Editors
  • 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