Weak Gibbs measures as Gibbs measures for asymptotically additive sequences

Iommi, Godofredo; Yayama, Yuki

doi:10.1090/proc/13311

Weak Gibbs measures as Gibbs measures for asymptotically additive sequences
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Proc. Amer. Math. Soc. 145 (2017), 1599-1614 Request permission

Abstract:

In this note we prove that every weak Gibbs measure for an asymptotically additive sequence 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 us, for example, to apply recent results on dimension theory of asymptotically additive sequences to study multifractal analysis for weak Gibbs measure for continuous potentials.

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