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Spectral triples and Gibbs measures for expanding maps on Cantor sets
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Sharp, Richard (2012) Spectral triples and Gibbs measures for expanding maps on Cantor sets. Journal of Noncommutative Geometry, Vol.6 (No.4). pp. 801-817. doi:10.4171/JNCG/106 ISSN 1661-6952.
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Official URL: http://dx.doi.org/10.4171/JNCG/106
Abstract
Let T: Λ → Λ 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. © European Mathematical Society.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Noncommutative Geometry | ||||
Publisher: | European Mathematical Society Publishing House | ||||
ISSN: | 1661-6952 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.6 | ||||
Number: | No.4 | ||||
Page Range: | pp. 801-817 | ||||
DOI: | 10.4171/JNCG/106 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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