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On the isomorphism of tensor powers of ergodic flowsстатья
- Автор: Ryzhikov V.V.
- Журнал: E-Print Archive
- Номер: arXiv:1610.10093
- Год издания: 2016
- Аннотация: The following question due to Thouvenot is well-known in ergodic theory. Let $S$ and $T$ be automorphisms of a probability space and $ S \times S $ be isomorphic to $T \times T $. Will $ S $ and $ T $ be isomorphic? Our note contains a simple answer to this question and a generalization of Kulaga's result on the corresponding isomorphism of some flows. We show that the isomorphism of weakly mixing flows $ S_t \times S_t $ and $ T_t \times T_t $ implies the isomorphism of the flows $S_t$ and $T_t$, if the latter has an integral weak limit.
- Добавил в систему: Рыжиков Валерий Валентинович