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Birkhäuser - Birkhäuser Mathematics | Further Developments in Fractals and Related Fields - Mathematical Foundations and Connections

Further Developments in Fractals and Related Fields

Mathematical Foundations and Connections

Barral, Julien, Seuret, Stéphane (Eds.)

2013, XIII, 288 p. 28 illus., 12 illus. in color.

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  • ​​​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​

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.

Content Level » Research

Keywords » analysis on fractals - ergodic theory and dynamical systems - functional analysis - geometric measure theory - harmonic analysis - multifractals

Related subjects » Birkhäuser Applied Probability and Statistics - Birkhäuser Mathematics

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