Unique Bernoulli g-measures

• Autores: Anders Johansson, Anders Öberg, Mark Pollicott
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 14, Nº 5, 2012, págs. 1599-1615
• Idioma: inglés
• DOI: 10.4171/jems/342
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• Resumen

  • 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.