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Unique Bernoulli g-measures
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Johannson, Anders, Öberg, Anders and Pollicott, Mark (2012) Unique Bernoulli g-measures. Journal of the European Mathematical Society, Vol.14 (No.5). pp. 1599-1615. doi:10.4171/JEMS/342 ISSN 1435-9855.
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Official URL: http://dx.doi.org/10.4171/JEMS/342
Abstract
We improve and subsume the conditions of Johansson and Öberg and Berbee for uniqueness of a g-measure, i.e., a stationary distribution for chains with complete connections. In addition, we prove that these unique g-measures have Bernoulli natural extensions. We also conclude that we have convergence in the Wasserstein metric of the iterates of the adjoint transfer operator to the g-measure.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of the European Mathematical Society | ||||
Publisher: | European Mathematical Society Publishing House | ||||
ISSN: | 1435-9855 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.14 | ||||
Number: | No.5 | ||||
Page Range: | pp. 1599-1615 | ||||
DOI: | 10.4171/JEMS/342 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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