2 citations · 3 across the 6 of their papers we have counts for
14 papers
Erdos distance problem in vector spaces over finite fields
Alex Iosevich, Misha Rudnev
We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let be a finite field with elements and take , .…
Endpoint bounds for the non-isotropic Falconer distance problem associated with lattice-like sets
A. Iosevich, M. Rudnev
Let be contained in the unit ball. Let , the Euclidean distance set of . Falconer conjectured that the has positive…
Distinct distances on a sphere
Alex Iosevich, Mischa Rudnev
We study the Erdos distance conjecture on the unit sphere in three dimensions using Fourier analytic methods.
On combinatorial compexity of convex sequences
A. Iosevich, M. Rudnev, V. Ten
We obtain a good upper bound on the number of solutions of a diophantine equation arising from a strictly convex sequences of real numbers.
A Weyl type formula for Fourier spectra and frames
Alex Iosevich, Mihail N. Kolountzakis
We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and fr…
Falconer conjecture in the plane for random metrics
S. Hofmann, A. Iosevich
We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost e…