A. Iosevich

activity

19992005

most citedFalconer conjecture in the plane for random metrics

2 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2004Show all

2 papers · 1 filter

math.CA2004

Endpoint bounds for the non-isotropic Falconer distance problem associated with lattice-like sets

A. Iosevich, M. Rudnev

Let $S \subset R^{d}$ be contained in the unit ball. Let $Δ (S) = {∣∣ a - b ∣∣ : a, b \in S}$ , the Euclidean distance set of $S$ . Falconer conjectured that the $Δ (S)$ has positive…

math.CO2004★ 1 cited

Distinct distances on a sphere

Alex Iosevich, Mischa Rudnev

We study the Erdos distance conjecture on the unit sphere in three dimensions using Fourier analytic methods.