46 citations · 413 across the 115 of their papers we have counts for
5 papers · 1 filter
Covering the plane by rotations of a lattice arrangement of disks
Alex Iosevich, Mihail N. Kolountzakis, Mate Matolcsi
Suppose we put an -disk around each lattice point in the plane, and then we rotate this object around the origin for a set of angles. When do we cover the whole plane, excep…
Sum-product estimates in finite fields
D. Hart, A. Iosevich, J. Solymosi
We prove, using combinatorics and Kloosterman sum technology that if , a finite field with elements, and , then $\…
Erdos-Falconer distance problem, exponential sums, and Fourier analytic approach to incidence theorems in vector spaces over finite fields
Alex Iosevich, Doowon Koh
We prove several incidence theorems in vector spaces over finite fields using bounds for various classes of exponential sums and apply these to Erdos-Falconer type distance problem…
Average decay estimates for Fourier transforms of measures supported on curves
Luca Brandolini, Giacomo Gigante, Allan Greenleaf +3
We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.
On distance measures for well-distributed sets
Alex Iosevich, Misha Rudnev
In this paper we investigate the Erdös/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We prove…