Trends in Mathematics

Further Developments in Fractals and Related Fields

Mathematical Foundations and Connections

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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eBook $89.00
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  • ISBN 978-0-8176-8400-6
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  • ISBN 978-0-8176-8399-3
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About this book

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.

The chapters cover fields related to fractals such as:

*geometric measure theory

*ergodic theory

*dynamical systems

*harmonic and functional analysis

*number theory

*probability theory

Further 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.

Table of contents (13 chapters)

  • The Rauzy Gasket

    Arnoux, Pierre (et al.)

    Pages 1-23

  • On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets

    Bayart, Frédéric (et al.)

    Pages 25-34

  • Hausdorff Dimension and Diophantine Approximation

    Bugeaud, Yann

    Pages 35-45

  • Singular Integrals on Self-similar Subsets of Metric Groups

    Chousionis, Vasilis (et al.)

    Pages 47-61

  • Multivariate Davenport Series

    Durand, Arnaud (et al.)

    Pages 63-113

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-0-8176-8400-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-0-8176-8399-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Further Developments in Fractals and Related Fields
Book Subtitle
Mathematical Foundations and Connections
Editors
  • Julien Barral
  • Stéphane Seuret
Series Title
Trends in Mathematics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8400-6
DOI
10.1007/978-0-8176-8400-6
Hardcover ISBN
978-0-8176-8399-3
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XIII, 288
Number of Illustrations and Tables
16 b/w illustrations, 12 illustrations in colour
Topics