For homographic extensions of the one-sided Bernoulli shift we construct σ-finite invariant and ergodic product measures. We apply the above to the description of invariant product probability measures for smooth extensions of one-sided Bernoulli shifts.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-5,
author = {Zbigniew S. Kowalski},
title = {Smooth Extensions of Bernoulli Shifts},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {53},
year = {2005},
pages = {157-168},
zbl = {1105.37001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-5}
}
Zbigniew S. Kowalski. Smooth Extensions of Bernoulli Shifts. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) pp. 157-168. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-2-5/