B. Mandelbrot

activity

19942009

most citedRadial DLA: two fractal dimensions and deviations from self-similarity

58 citations · 59 across the 4 of their papers we have counts for

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math.PR2009

Fractional multiplicative processes

Julien Barral, Benoit Mandelbrot

Statistically self-similar measures on $[0, 1]$ are limit of multiplicative cascades of random weights distributed on the $b$ -adic subintervals of $[0, 1]$ . These weights are i.i.d,…

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…