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2 Bulletin of the Polish Academy of Sciences. Mathematics

2 Kowalski Z. S.

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Smooth extensions of Bernoulli shifts

Kowalski Z. S.

Bulletin of the Polish Academy of Sciences. Mathematics

2005

Vol. 53, no 2

157-168

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.

Invariant measures for smooth extensions of Bernoulli shifts

Kowalski Z. S.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 3

261-267

For a class of skew products which are non-isometric extensions of one-sided Bernoulli shifts we describe the set of invariant measures with the left marginals equal to the basie measure. It appears that under some conditions this set consists of product measures.