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math.DS2016★ 1 cited
Effective equidistribution of horocycle lifts
Ilya Vinogradov
We give a rate of equidistribution of lifts of horocycles from the space to the space $\mathrm{ASL}(2,\mathbb Z)\back…
math.DS2010★ 2 cited
Limiting distribution of visits of sereval rotations to shrinking intervals
Ilya Vinogradov
We show that given normalized intervals on the unit circle, the numbers of visits of random rotations to these intervals have a joint limiting distribution as lengths of tr…