Inside singularity sets of random Gibbs measures
概率论
2009-11-11 v1
摘要
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 H\"older 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.
关键词
引用
@article{arxiv.math/0503420,
title = {Inside singularity sets of random Gibbs measures},
author = {Julien Barral and Stephane Seuret},
journal= {arXiv preprint arXiv:math/0503420},
year = {2009}
}