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/