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math.CA2006★ 4 cited
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…
math.CA2004
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…