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Rokhlin's Lemma for Group Actions

Student: Stepanov Timur

Supervisor: Ilya V. Vyugin

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2017

In this work, we consider the most important generalizations of this lemma. Rokhlin’s lemma is a very useful result in ergodic theory, which allows us to significantly simplify the construction of the dynamical system. We give an elementary proof of a generalization of Alpern's theorem for commuting non-invertible transformartions.

Full text (added June 9, 2017)

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