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Lecture notes on ergodic transformationsстатья
- Автор: Ryzhikov V.V.
- Журнал: ArXiv e-prints
- Номер: 2407.20180
- Год издания: 2024
- Аннотация: Content §1. Introduction. §2. Properties of transformations equivalent to ergodicity. §3. Birkhoff’s Theorem. §4. Properties equivalent to weak mixing. §5. On typical properties of transformations. §6. Lego to constuct transformations. §7. Typical entropy invariants. §8. Poisson suspensions with completely positive P-entropy. §9. Spectral theorem for unitary operators. §10. Compact factors, Kronecker algebra. §11. Progression recurrence for weakly mixing transformations. §12. Double recurrence for ergodic transformations.
- Добавил в систему: Рыжиков Валерий Валентинович