Spectral triples and Gibbs measures for expanding maps on Cantor sets

Details Spectral triples and Gibbs measures for expanding maps on Cantor sets Spectral triples and Gibbs measures for expanding maps on Cantor sets

2010-09-29

arxiv.org/abs/1009.5887v1

Mathematics

Dynamical Systems

Scientific paper

Let $T : \Lambda \to \Lambda$ be an expanding map on a Cantor set. For each
suitably normalized H\"older continuous potential, we construct a spectral
triple from which one may recover the associated Gibbs measure as a
noncommutative measure.

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