Renewal of singularity sets of statistically self-similar measures

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dc.creatorBarral, Julien
dc.creatorSeuret, Stephane
dc.date2005-03-21
dc.date.accessioned2026-07-07T05:18:10Z
dc.date.available2026-07-07T05:18:10Z
dc.descriptionThis paper investigates new properties concerning the multifractal structure of a class of statistically self-similar measures. These measures include the well-known Mandelbrot multiplicative cascades, sometimes called independent random cascades. We evaluate the scale at which the multifractal structure of these measures becomes discernible. The value of this scale is obtained through what we call the growth speed in Hölder singularity sets of a Borel measure. This growth speed yields new information on the multifractal behavior of the rescaled copies involved in the structure of statistically self-similar measures. Our results are useful to understand the multifractal nature of various heterogeneous jump processes.
dc.identifierhttps://arxiv.org/abs/math/0503421
dc.identifierhttp://arxiv.org/abs/math/0503421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74567
dc.subjectProbability
dc.subject60G42 ; 28A78 ; 28A80
dc.titleRenewal of singularity sets of statistically self-similar measures
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