Skip to main content
SpringerLink
Log in
Birkhäuser

Fractal Geometry and Stochastics

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Christoph Bandt

    1. Fachbereich Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, Deutschland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Siegfried Graf

    1. Fakultät für Mathematik und Informatik, Universität Passau, Passau, Deutschland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Martina Zähle

    1. Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Jena, Deutschland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Probability (PRPR, volume 37)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Fractal Sets and Measures

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Probabilistic Methods in Fractal Geometry

      • Kenneth J. Falconer
      Pages 3-13

    3. Measures of Fractal Lacunarity: Minkowski Content and Alternatives

      • Benoit B. Mandelbrot
      Pages 15-42

    4. Tangent Measures, Densities, and Singular Integrals

      • Pertti Mattila
      Pages 43-52

  3. Iterated Function Systems

    1. Front Matter

      Pages 53-53
      Download chapter PDF

    2. Self-Similarity, L p-Spectrum and Multifractal Formalism

      • Ka-Sing Lau
      Pages 55-90

    3. Infinite Iterated Function Systems: Theory and Applications

      • R. Daniel Mauldin
      Pages 91-110

  4. Random Fractals

    1. Front Matter

      Pages 111-111
      Download chapter PDF

    2. Aspects of the Fractal Percolation Process

      • Lincoln Chayes
      Pages 113-143

    3. Fractals via Random Iterated Function Systems and Random Geometric Constructions

      • Yuri Kifer
      Pages 145-164

  5. Fractals and Dynamical Systems

    1. Front Matter

      Pages 165-165
      Download chapter PDF

    2. Remarks on Weak Limit Laws for Fractal Sets

      • Manfred Denker
      Pages 167-178

    3. A Rigidity Theorem in Complex Dynamics

      • Mariusz Urbański, Alexander Volberg
      Pages 179-187

  6. Harmonic Analysis on Fractals

    1. Front Matter

      Pages 189-189
      Download chapter PDF

    2. Estimates on the Spectrum of Fractals Arising from Affine Iterations

      • Palle E. T. Jorgensen, Steen Pedersen
      Pages 191-219

    3. Laplacians on Self-Similar Sets and their Spectral Distributions

      • Jun Kigami
      Pages 221-238

  7. Back Matter

    Pages 239-248
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Fachbereich Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, Deutschland

    Christoph Bandt

  • Fakultät für Mathematik und Informatik, Universität Passau, Passau, Deutschland

    Siegfried Graf

  • Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Jena, Deutschland

    Martina Zähle

Bibliographic Information

  • Book Title: Fractal Geometry and Stochastics

  • Editors: Christoph Bandt, Siegfried Graf, Martina Zähle

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-3-0348-7755-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1995

  • Softcover ISBN: 978-3-0348-7757-2Published: 15 April 2014

  • eBook ISBN: 978-3-0348-7755-8Published: 27 November 2013

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: XI, 248

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Real Functions, Probability Theory and Stochastic Processes

Publish with us

Policies and ethics

Back to top

Search

Navigation