most citedAn analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries

10 citations · 23 across the 7 of their papers we have counts for

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math.CA2007★ 2 cited

Pinned distance sets, Wolff's exponent in finite fields and improved sum-product estimates

Derrick Hart, Alex Iosevich

An analog of the Falconer distance problem in vector spaces over finite fields asks for the threshold such that whenever , where $E \subse…

math.CA2007★ 3 cited

Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture

Derrick Hart, Alex Iosevich, Doowon Koh +1

We prove a point-wise and average bound for the number of incidences between points and hyper-planes in vector spaces over finite fields. While our estimates are, in general, sharp…

math.CA2007★ 2 cited

Ubiquity of simplices in subsets of vector spaces over finite fields

Derrick Hart, Alex Iosevich

We prove that a sufficiently large subset of the -dimensional vector space over a finite field with elements, , contains a copy of every -simplex. Fourier…