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- W2885271837 abstract "Let $A$ be a finite set, $G$ a discrete countable infinite group and $(mu_g)_{gin G}$ a family of probability measures on $A$ such that $inf_{gin G}min_{ain A}mu_g(a)>0$. It is shown (among other results) that if the Bernoulli shiftwise action of $G$ on the infinite product space $bigotimes_{gin G}(A,mu_g)$ 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 $Bbb Z^d$-actions are ergodic." @default.
- W2885271837 created "2018-08-22" @default.
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- W2885271837 date "2018-07-16" @default.
- W2885271837 modified "2023-09-27" @default.
- W2885271837 title "Weak mixing for nonsingular Bernoulli actions of countable groups" @default.
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