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Repairing the refined-decoupling proof of the 5/4 planar pinned Falconer theorem
We show that the literal arbitrary-packet form of the refined-decoupling estimate printed in the Guth--Iosevich-Ou-Wang proof of the planar pinned Falconer theorem is false, even after its tube dimensions are normalized. An explicit collar construction gives a fixed-power counterexample: all packets
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