58 citations · 59 across the 4 of their papers we have counts for
4 papers
Fractional multiplicative processes
Julien Barral, Benoit Mandelbrot
Statistically self-similar measures on are limit of multiplicative cascades of random weights distributed on the -adic subintervals of . These weights are i.i.d,…
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…
Radial DLA: two fractal dimensions and deviations from self-similarity
Benoit B. Mandelbrot, Boaz Kol, Amnon Aharony
When suitably rescaled, the distribution of the angular gaps between branches of off-lattice radial DLA is shown to approach a size-independent limit. The power-law expected from a…
Responses to ``Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics'', by A. Jaffe and F. Quinn
Michael Atiyah, Armand Borel, G. J. Chaitin +12
This article is a collection of letters solicited by the editors of the Bulletin in response to a previous article by Jaffe and Quinn [math.HO/9307227]. The authors discuss the rol…