Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
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Who first proved ergodicity of irrational rotations of the circle?Who first proved ergodicity of irrational rotations of the circle?
For $x$ irrational, is $a_{n} =\sum_{k=1}^{n}(-1)^{⌊kx⌋}$ unbounded?
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