Thouvenot’s Isomorphism Problem for Tensor Powers of Ergodic Flowsстатья
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Дата последнего поиска статьи во внешних источниках: 28 января 2019 г.
Аннотация:—Let S and T be automorphisms of a probability space whose powers S ⊗ S and T ⊗ T
isomorphic. Are the automorphisms S and T isomorphic? This question of Thouvenot is well
known in ergodic theory. We answer this question and generalize a result of Kulaga concerning
isomorphism in the case of flows. We show that if weakly mixing flows St ⊗ St and Tt ⊗ Tt are
isomorphic, then so are the flows St and Tt, provided that one of them has a weak integral limit.