A randomly shifted Steinhaus longimeter yields Buffon discrepancy O(L^{1/5} (log L)^{2/5}) for bounded convex domains.
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Randomly Shifted Steinhaus Longimeters and Buffon Discrepancy
A randomly shifted Steinhaus longimeter yields Buffon discrepancy O(L^{1/5} (log L)^{2/5}) for bounded convex domains.