Unique Bernoulli $g$-measures

Johansson, Anders, Öberg, Anders, and Pollicott, Mark. "Unique Bernoulli $g$-measures." Journal of the European Mathematical Society 014.5 (2012): 1599-1615. <http://eudml.org/doc/277633>.

@article{Johansson2012,
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.},
author = {Johansson, Anders, Öberg, Anders, Pollicott, Mark},
journal = {Journal of the European Mathematical Society},
keywords = {Bernoulli measure; $g$-measure; chains with complete connections; Bernoulli measure; -measure; chains with complete connections},
language = {eng},
number = {5},
pages = {1599-1615},
publisher = {European Mathematical Society Publishing House},
title = {Unique Bernoulli $g$-measures},
url = {http://eudml.org/doc/277633},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Johansson, Anders
AU - Öberg, Anders
AU - Pollicott, Mark
TI - Unique Bernoulli $g$-measures
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 5
SP - 1599
EP - 1615
AB - 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.
LA - eng
KW - Bernoulli measure; $g$-measure; chains with complete connections; Bernoulli measure; -measure; chains with complete connections
UR - http://eudml.org/doc/277633
ER -