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Compact families and typical entropy invariants of measure-preserving actionsстатья
- Автор: Ryzhikov V.V.
- Сборник: arXiv.org - Mathematics
- Серия: arXiv.org - Mathematics
- Год издания: 2021
- Издательство: Cornell University Press
- Местоположение издательства: United States
- Номер статьи: arXiv:2102.06187
- Аннотация: For a compact set of actions, an invariant of Kushnirenko's entropy type is chosen in such a way that on this set it is equal to zero, but will be infinity for typical actions. As a consequence, we show that typical measure-preserving transformations are not isomorphic to geometric shape exchange transformations. This problem arose in connection with the result of Chaika and Davis about the atypical nature of IETs.
- Добавил в систему: Рыжиков Валерий Валентинович