10 citations · 19 across the 4 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2007
Dynamics of Mandelbrot Cascades
Julien Barral, Jacques Peyriere, Zhi-Ying Wen
Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the…
math.PR2007
Bilateral Canonical Cascades: Multiplicative Refinement Paths to Wiener's and Variant Fractional Brownian Limits
Julien Barral, Benoit Mandelbrot
The original density is 1 for , is an integer base (%), and is a parameter. The first construction stage divides the unit interval into su…
math.PR2005★ 9 cited
Renewal of singularity sets of statistically self-similar measures
Julien Barral, Stephane Seuret
This paper investigates new properties concerning the multifractal structure of a class of statistically self-similar measures. These measures include the well-known Mandelbrot mul…