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.