Claims

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1983_03_01_beck: Proves that a random signed sum of n unit vectors in d-dimensional space lies in the ball of radius root d with probability at least a constant times n to the minus d over 2; the planar case is the exact question.

2024_08_20_he_juskevicius_narayanan_spiro: Proves that a random signed sum of n planar unit vectors has norm at most the square root of two with probability at least c over n, the exact question; an arXiv preprint credited by the site's curator, not refereed.

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