I. Vinogradov

activity

20072016

most citedEffective bisector estimate with application to Apollonian circle packings

4 citations · 10 across the 8 of their papers we have counts for

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Showing 2013 · math.DSShow all

2 papers · 2 filters

math.DS2013★ 3 cited

Effective Ratner theorem for ASL(2,R) and gaps in \sqrt{n} modulo 1

Tim Browning, Ilya Vinogradov

Let G=ASL(2,R) be the affine special linear group of the plane, and set Gamma=ASL(2,Z). Building on recent work of Strömbergsson we prove a rate of equidistribution for the orbits…

math.DS2013

Ergodic Properties of $k$ -Free Integers in Number Fields

Francesco Cellarosi, Ilya Vinogradov

Let $K / Q$ be a degree $d$ extension. Inside the ring of integers $O_{K}$ we define the set of $k$ -free integers $F_{k}$ and a natural $O_{K}$ -action on…

Effective Ratner theorem for ASL(2,R) and gaps in \sqrt{n} modulo 1

Ergodic Properties of k-Free Integers in Number Fields

Ergodic Properties of $k$ -Free Integers in Number Fields