Let be an expanding map on a Cantor set. For each suitably normalized Hölder continuous potential, we construct a spectral triple from which one may recover the associated Gibbs measure as a noncommutative measure.
Cite this article
Richard Sharp, Spectral triples and Gibbs measures for expanding maps on Cantor sets . J. Noncommut. Geom. 6 (2012), no. 4, pp. 801–817DOI 10.4171/JNCG/106