Trends in Mathematics

Recent Developments in Fractals and Related Fields

Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015

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

  • Provides an overview of recent developments in 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 Mexico (gross)
  • ISBN 978-3-319-57805-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-3-319-57803-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions,  as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île de Porquerolles, France. Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing. The book is aimed at pure and applied mathematicians in these areas, as well as other researchers interested in discovering the fractal domain.

Table of contents (13 chapters)

  • New Exponents for Pointwise Singularity Classification

    Abry, Patrice (et al.)

    Pages 1-37

  • The Two-Dimensional Density of Bernoulli Convolutions

    Bandt, Christoph

    Pages 39-55

  • Iterated Functions Systems, Blenders, and Parablenders

    Berger, Pierre (et al.)

    Pages 57-70

  • Multifractal Properties of Convex Hulls of Typical Continuous Functions

    Buczolich, Zoltán

    Pages 71-86

  • Fourier Bases and Fourier Frames on Self-Affine Measures

    Dutkay, Dorin Ervin (et al.)

    Pages 87-111

Buy this book

eBook $149.00
price for Mexico (gross)
  • ISBN 978-3-319-57805-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-3-319-57803-3
  • 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
Book Subtitle
Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015
Editors
  • Julien Barral
  • Stéphane Seuret
Series Title
Trends in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-57805-7
DOI
10.1007/978-3-319-57805-7
Hardcover ISBN
978-3-319-57803-3
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XII, 312
Number of Illustrations and Tables
16 b/w illustrations, 15 illustrations in colour
Topics