4 citations · 10 across the 8 of their papers we have counts for
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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.DS2016
Central limit theorems for simultaneous Diophantine approximations
Dmitry Dolgopyat, Bassam Fayad, Ilya Vinogradov
We study the distribution modulo of the values taken on the integers of linear forms in variables with random coefficients. We obtain quenched and annealed central limi…
math.DS2016
Spherical averages in the space of marked lattices
Jens Marklof, Ilya Vinogradov
A marked lattice is a -dimensional Euclidean lattice, where each lattice point is assigned a mark via a given random field on . We prove that, if the field is str…