11 citations · 35 across the 6 of their papers we have counts for
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math.CO2008★ 10 cited
An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries
David Covert, Derrick Hart, Alex Iosevich +1
We prove that if the cardinality of a subset of the 2-dimensional vector space over a finite field with elements is , with , then it cont…
math.CO2008★ 6 cited
Distance graphs in vector spaces over finite fields, coloring and pseudo-randomness
Derrick Hart, Alex Iosevich, Doowon Koh +2
In this paper we systematically study various properties of the distance graph in , the -dimensional vector space over the finite field with eleme…
math.CO2007★ 11 cited
Theory of dimension for large discrete sets and applications
Alex Iosevich, Misha Rudnev, Ignacio Uriarte-Tuero
We define two notions of discrete dimension based on the Minkowski and Hausdorff dimensions in the continuous setting. After proving some basic results illustrating these definitio…