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Approximate transitivity of the ergodic action of the group of finite permutations of $\mathbb{N}$ on $\{0,1\}^{\mathbb{N}}$
Published online by Cambridge University Press: 13 March 2018
Abstract
In this paper we show that the natural action of the symmetric group acting on the product space $\{0,1\}^{\mathbb{N}}$ endowed with a Bernoulli measure is approximately transitive. We also extend the result to a larger class of probability measures.
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- © Cambridge University Press, 2018