Rough-number rotations by badly approximable alpha have Poissonian correlations of all orders and Poissonian gaps, while almost every alpha makes the correlations non-Poissonian.
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The bad and rough rotation is Poissonian
Rough-number rotations by badly approximable alpha have Poissonian correlations of all orders and Poissonian gaps, while almost every alpha makes the correlations non-Poissonian.