Applied and Numerical Harmonic Analysis

Recent Developments in Fractals and Related Fields

Editors: Barral, Julien, Seuret, Stéphane (Eds.)

  • Provides an overview of recent developments in the mathematical fields related to fractals
  • Includes original research contributions as well as surveys written by experts in their respective fields
  • Readers will find interesting and motivating results as well as new avenues for further research
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Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-8176-4888-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4887-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book—an outgrowth of an international conference held in honor of Jacques Peyrière—provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields.

The chapters are thematically organized into five major sections:

• Geometric Measure Theory and Multifractals;

• Harmonic and Functional Analysis and Signal Processing;

• Dynamical Systems and Analysis on Fractals;

• Stochastic Processes and Random Fractals;

• Combinatorics on Words.

Recent Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Contributors:

J.-P. Allouche, A.M. Atto, J.-M. Aubry, F. Axel, A. Ayache, C. Bandt, F. Bastin, P.R. Bertrand, A. Bonami, G. Bourdaud, Z. Buczolich, M. Clausel, Y. Demichel, X.-H. Dong, A. Durand, A.H. Fan, U.R. Freiberg, S. Jaffard, E. Järvenpää, A. Käenmäki, A. Karoui, H. Kempka, T. Langlet, K.-S. Lau, B. Li, M.M. France, S. Nicolay, E. Olivier, D. Pastor, H. Rao, S.Gy. Révész, J. Schmeling, A. Sebbar, P. Shmerkin, E.C. Waymire, Z.-X. Wen, Z.-Y. Wen, S.C. Williams, S. Winter

Table of contents (27 chapters)

  • Occupation Measure and Level Sets of the Weierstrass–Cellerier Function

    Buczolich, Zoltán

    Pages 3-18

  • Space-Filling Functions and Davenport Series

    Jaffard, Stéphane (et al.)

    Pages 19-34

  • Dimensions and Porosities

    Järvenpää, Esa

    Pages 35-43

  • On Upper Conical Density Results

    Käenmäki, Antti

    Pages 45-54

  • On the Dimension of Iterated Sumsets

    Schmeling, Jörg (et al.)

    Pages 55-72

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-8176-4888-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4887-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Recent Developments in Fractals and Related Fields
Editors
  • Julien Barral
  • Stéphane Seuret
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4888-6
DOI
10.1007/978-0-8176-4888-6
Hardcover ISBN
978-0-8176-4887-9
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XX, 419
Number of Illustrations and Tables
45 b/w illustrations
Topics