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Results tagged with ergodic-theory
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user 15342
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
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Do ergodicity, minimality and equicontinuity on a compact space imply total ergodicity?
The answer is no in this generality! If you consider the classical odometer (i.e. addition by 1 on 2-adic integers) then its second power (addition by 2) is not minimal. This second power preserves th …
- 331
1
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Ferenczi: minimal, uniquely ergodic, sublinear complexity systems are not strongly mixing
I know how to prove something similar that I learned from an argument of A. Katok in his 1980 paper Interval exchange transformations and some special flows are not mixing. But you need to assume that …
- 331