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Results tagged with diophantine-approximation
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user 169474
7
votes
Accepted
Central limit theorem for irrational rotations
I am surprised by the question. The sums are bounded if $\alpha \ne 1$, since for every $n \ge 1$,
$$\Big|\sum_{k=1}^n \Re R_\alpha^k z \Big|
= \Big|\Re \Big(\sum_{k=1}^n R_\alpha^k z \Big) \Big| = \B …
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