4 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Sequences modulo one: convergence of local statistics
Ilya Vinogradov
We survey recent results beyond equidistribution of sequences modulo one. We focus on the sequence of angles in a Euclidean lattice in and on the sequence $\sqrt n\bm…
Effective bisector estimate with application to Apollonian circle packings
Ilya Vinogradov
Let Γ<\PSL(2,\C) be a geometrically finite non-elementary discrete subgroup, and let its critical exponent δ be greater than 1. We use representation theory of \PSL(2,\C) to prove…
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…