| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1156313 | Stochastic Processes and their Applications | 2008 | 20 Pages |
Abstract
We consider a mass-conservative fragmentation of the unit interval. Motivated by a result of Berestycki [J. Berestycki, Multifractal spectra of fragmentation processes, J. Statist. Phys. 113 (3–4) (2003) 411–430], the main purpose of this work is to specify the Hausdorff dimension of the set of locations having exactly an exponential decay. The study relies on an additive martingale which arises naturally in this setting, and a class of Lévy processes constrained to stay in a finite interval.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nathalie Krell,