Section: New Results
Participants : Julien Barral, Xiong Jin, Yan-Hui Qu.
Part of this work is done in cooperation with Benoît Mandelbrot (Yale University).
The results obtained concern the following topics: Multifractal analysis of complex random cascades  , Fractional multiplicative processes  , Uniform convergence of [0, 1] -martingales  , Convergence of signed multiplicative cascades  , Dynamics of Mandelbrot cascades  .
Multifractal analysis and Geometric measure theory
The results obtained concern the following topics:
Multifractal analysis for projections of Gibbs and related measures. This is done in cooperation with Imen Bhouri (Monastir University)  .
In cooperation with IStéphane Seuret: Multifractal analysis, large deviations, and localized asymptotic behavior for almost additive potentials  , A pure jump Markov process with a random singularity spectrum  , The singularity spectrum of the inverse of Cookie-Cutters  .