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May 21, 2018 at 13:12 vote accept john mangual
Jul 30, 2016 at 17:48 comment added John Griesmer A remark on the circle rotation example (and uniquely ergodic topological systems in general): for everywhere convergence to hold, the boundary of $A$ must have measure $0$.
Jul 21, 2016 at 18:52 comment added john mangual this is what I had in mind. and of course it's tied to Furstenberg's proof
Jul 21, 2016 at 18:50 history answered coudy CC BY-SA 3.0