Editors:
- 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?
- Includes supplementary material: sn.pub/extras
Part of the book series: Trends in Mathematics (TM)
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Table of contents (13 chapters)
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Front Matter
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.
Editors and Affiliations
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, LAGA, Université Paris 13, Villetaneuse, France
Julien Barral
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, Laboratoire d'Analyse et de Mathématique, Université Paris-Est Créteil - Val de Ma, Créteil Cedex, France
Stéphane Seuret
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
DOI: https://doi.org/10.1007/978-0-8176-8400-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-0-8176-8399-3Published: 20 February 2013
eBook ISBN: 978-0-8176-8400-6Published: 20 February 2013
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XIII, 288
Number of Illustrations: 16 b/w illustrations, 12 illustrations in colour
Topics: Geometry, Abstract Harmonic Analysis, Functional Analysis, Partial Differential Equations, Dynamical Systems and Ergodic Theory, Probability Theory and Stochastic Processes