52 citations · 222 across the 27 of their papers we have counts for
Showing 2007Show all
2 papers · 1 filter
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.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…