FRACTALES : Fractals, complex models and artificial evolution (project-team)

About the team : Project-Team site Activity report Videos and photos Research reports and theses Theme : 4 Simulation and optimization of complex systems Rocquencourt research unit

FRACTALES has been dissolved on 12/31/2003
It has been replaced by COMPLEX

Project-Team Presentation

Using the fractal approach for studying complex systems has proved to be fruitful in mathematics (analysis of singular measures), and in physics (description of highly non-linear phenomena). Yet recent progress has been most decisive in signal processing, using, for instance, multifractal analysis and the theory of iterated function systems (IFS) to apply fractal tools to ``a priori'' non-fractal signals such as images. The team's goal is to develop new instruments based on artificial evolution and on fractal models for fine analysis of complex signals.

Research themes

• Multifractal analysis.
• Theory of iterated function systems.
• Fractional and stable processes.
• Time frequency analysis.
• Evolutionary algorithms.

International and industrial relations

• Collaboration with CNET, and DGA.
• Co-operation with Alcatel Espace, Alcatel ISR, Dassault Aviation, Novartis Pharma, IFP, Paraschool..
• Collaboration with ENS Cachan, ENS Lyon, the Institut de recherche en cybernétique of Nantes (IrCcyn), l'Ecole polytechnique (CMAPX), ENSTA, St Andrews (UK), Waterloo (CA), and Yale (USA) University.

Scientific leader

Evelyne LUTTON
+33 1 39 63 52 33
Evelyne.Lutton@inria.fr
Secretary : +33 1 39 63 55 52