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Results tagged with ergodic-theory
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user 39174
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
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Examples of transformations that are totally ergodic but not weakly mixing?
The most natural examples are irrational rotations. Are there other examples that are fundamentally different from irrational rotations? By the way, if $T$ is totally ergodic, but not weakly mixing, …
- 303
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Is every measure-theoretic factor map between isomorphic odometers an isomorphism?
There are odometers that "look different" but are isomorphic, e.g., the odometer (4, 16, 64, ...) and the odometer (2, 4, 8, ...). In the case above, the natural factor map ends up being an isomorphi …
- 303