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Inside singularity sets of random Gibbs measures

Abstract : We evaluate the scale at which the multifractal structure of some random Gibbs 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 Gibbs measures. Our results are useful to understand the multifractal nature of various heterogeneous jump processes.
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Contributor : Stephane Seuret <>
Submitted on : Monday, March 21, 2005 - 1:55:13 PM
Last modification on : Friday, May 25, 2018 - 12:02:04 PM
Document(s) archivé(s) le : Thursday, April 1, 2010 - 9:03:16 PM




Julien Barral, Stephane Seuret. Inside singularity sets of random Gibbs measures. 2005. ⟨hal-00004526⟩



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