# Spectral triples and Gibbs measures for expanding maps on Cantor sets - Mathematics > Dynamical Systems

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Abstract: Let $T : \Lambda \to \Lambda$ be an expanding map on a Cantor set. For eachsuitably normalized H\-older continuous potential, we construct a spectraltriple from which one may recover the associated Gibbs measure as anoncommutative measure.

Autor: Richard Sharp

Fuente: https://arxiv.org/