Weak Gibbs measures as Gibbs measures for asymptotically additive sequences
Dynamical Systems
2017-04-07 v1
Abstract
In this note we prove that every weak Gibbs measure for an asymptotically additive sequences is a Gibbs measure for another asymptotically additive sequence. In particular, a weak Gibbs measure for a continuous potential is a Gibbs measure for an asymptotically additive sequence. This allows, for example, to apply recent results on dimension theory of asymptotically additive sequences to study multifractal analysis for weak Gibbs measure for continuous potentials.
Keywords
Cite
@article{arxiv.1505.00977,
title = {Weak Gibbs measures as Gibbs measures for asymptotically additive sequences},
author = {Godofredo Iommi and Yuki Yayama},
journal= {arXiv preprint arXiv:1505.00977},
year = {2017}
}