J. Barral

most citedHeterogeneous ubiquitous systems in

R^{d}

and Hausdorff dimension

10 citations · 19 across the 2 of their papers we have counts for

collaborators

4 papers

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 $t \in (0, 1)$ , $b$ is an integer base ( $b \geq 2$ %), and $p \in (0, 1)$ is a parameter. The first construction stage divides the unit interval into $b$ 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…

math.GM2005★ 10 cited

Heterogeneous ubiquitous systems in $R^{d}$ and Hausdorff dimension