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Space-filling curves and small-ball probabilities for the Kloosterman process
We construct explicitly a space-filling curve in the support of the limiting Kloosterman process, using the planar partial-sum curve of the Rudin--Shapiro sequence. The qualitative existence statement was previously attributed to J. Bober by Kowalski. The resulting curve is a closed, $1/2$-Hölder co
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