A. Iosevich

activity

19992025

most citedThe Fuglede Conjecture holds in

Z_{p} \times Z_{p}

46 citations · 413 across the 115 of their papers we have counts for

collaborators

Showing 2010 · math.COShow all

2 papers · 2 filters

math.CO2010

A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries

David Covert, Derrick Hart, Alex Iosevich +2

We show that if $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over the finite field with $q$ elements, and $∣ E ∣ \geq ρ q^{d}$ , where $q^{- \frac{1}{2}} ≪ ρ \leq 1$ , the…

math.CO2010★ 9 cited

Sharpness of Falconer's estimate in continuous and arithmetic settings, geometric incidence theorems and distribution of lattice points in convex domains

Alex Iosevich, Steven Senger

In this paper we prove, for all $d \geq 2$ , that for no $s < \frac{d + 1}{2}$ does $I_{s} (μ) < \infty$ imply the canonical Falconer distance problem incidence bound, or the analogous estima…