Smooth Extensions of Bernoulli Shifts
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 157-168
MSC: Primary 37A40.
DOI: 10.4064/ba53-2-5
Abstract
For homographic extensions of the one-sided Bernoulli shift we construct $\sigma$-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.