Inside singularity sets of random Gibbs measures

Details Inside singularity sets of random Gibbs measures Inside singularity sets of random Gibbs measures

2005-03-21

arxiv.org/abs/math/0503420v1

Mathematics

Probability

Scientific paper

10.1007/s10955-005-5458-y

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.

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