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math.CA2012
Unit Distance Problems
Daniel Oberlin, Richard Oberlin
We study some discrete and continuous variants of the following problem of Erdos: given a finite subset P of R^2 or R^3, what is the maximum number of pairs (p_1,p_2) with p_1,p_2…
math.CA2012★ 2 cited
Variational bounds for a dyadic model of the bilinear Hilbert transform
Yen Do, Richard Oberlin, Eyvindur Ari Palsson
We prove variation-norm estimates for the Walsh model of the truncated bilinear Hilbert transform, extending related results of Lacey, Thiele, and Demeter. The proof uses analysis…