Geodesic
Unique Bernoulli $g$-measures
Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1599-1615

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/342
Classification : 37-XX, 00-XX, 60-XX
Keywords: Bernoulli measure, g-measure, chains with complete connections 
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     author = {Anders Johansson and Anders \"Oberg and Mark Pollicott},
     title = {Unique {Bernoulli} $g$-measures},
     journal = {Journal of the European Mathematical Society},
     pages = {1599--1615},
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     doi = {10.4171/jems/342},
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Anders Johansson; Anders Öberg; Mark Pollicott. Unique Bernoulli $g$-measures. Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1599-1615. doi: 10.4171/jems/342

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