# Unique Bernoulli g-measures

@article{Johansson2012UniqueBG,
title={Unique Bernoulli g-measures},
author={A. Johansson and A. Oberg and M. Pollicott},
journal={Journal of the European Mathematical Society},
year={2012},
volume={14},
pages={1599-1615}
}
• Published 2012
• Mathematics
• Journal of the European Mathematical Society
• We improve and subsume the conditions of Johansson and Oberg 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.

#### References

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