Back to matchesWe found a matchYour institution may have rights to this item. Sign in to continue.TitleUNIT DISTANCE PROBLEMS.AuthorsOBERLIN, DANIEL; OBERLIN, RICHARDAbstractWe study some discrete and continuous variants of the following problem of Erdős: given a finite subset P of ℝ² or ℝ³, what is the maximum number of pairs (p1, p2) with p1, p2 ∈ P and |p1 - p2| = 1?SubjectsERDOS, Paul, 1913-1996; FRACTAL dimensions; FOURIER integral operators; INTEGRAL operators; FOURIER analysisPublicationAmerican Journal of Mathematics, 2015, Vol 137, Issue 1, p251ISSN0002-9327Publication typeArticleDOI10.1353/ajm.2015.0004