Shukun Wu

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20242026

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math.CA2026

Lebesgue measure of distance sets and $L^{2}$ ball inflation

Shengwen Gan, Bochen Liu, Shukun Wu

We give an alternative proof of the $5/4$ result of Guth-Iosevich-Ou-Wang on the Falconer distance conjecture: if a compact set $E$ in the plane has Hausdorff dimension $> 5/4$ , the…

math.CA2026

Near optimal three-fold additive energy bound for points on convex curves

Adam Cushman, Ciprian Demeter, Shukun Wu

Let $X \subset R$ be finite and let $γ (t) = (t, f (t))$ , where $f$ is strictly convex. We show that \[ J_3(γ(X)) =\#\{(x_1,\ldots,x_6)\in X^6:\sum_{i=1}^3γ(x_i)=\sum_{i=4}^6γ(x_…

Lebesgue measure of distance sets and L2 ball inflation

Near optimal three-fold additive energy bound for points on convex curves

Lebesgue measure of distance sets and $L^{2}$ ball inflation