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

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.

Author: Richard Sharp

Source: https://arxiv.org/