Inhomogeneous Mandelbrot cascades

Orateur: NIKULA Miika
Localisation: Université d'Helsinki, Finlande
Type: Séminaire cristolien d'analyse multifractale
Site: UPEC
Salle: Salle des thèses
Date de début: 13/03/2014 - 15:00
Date de fin: 13/03/2014 - 15:00

We consider a modification of the classical Mandelbrot cascade in which the ”inverse temperature” parameter may be different on each scale. The main result is a sufficient and almost necessary condition for the inhomogeneous Mandelbrot martingale to converge in $\mathcal{L}^1$ . Near-critical inhomogeneous cascade measures can be used to study fine multifractal properties of critical Mandelbrot cascades.