**abstract:**
Let G be an amenable discrete countable infinite group, A a finite set,
and (μg)g2G a family of probability measures on A such that infg2G mina2A μg(a) >
0. It is shown (among other results) that if the Bernoulli shiftwise action of G on the
infinite product spaceNg2G(A, μg) is nonsingular and conservative then it is weakly
mixing. This answers in positive a question by Z. Kosloff who proved recently that
the conservative Bernoulli Zd-actions are ergodic. As a byproduct, we prove a weak
version of the pointwise ratio ergodic theorem for nonsingular actions of G.

Wed 10 Apr, 14:30 - 15:30, Sala Conferenze Centro De Giorgi

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