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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1959_01_05_kahane: Kahane proves a sufficient and a necessary condition for random arcs of nonincreasing lengths below one to cover the circle almost surely, which give the lengths (1+c)/n the site credits to him; refereed.

1972_09_01_shepp: Shepp's necessary and sufficient condition for independent uniform random arcs of nonincreasing lengths to cover the whole circle with probability one; refereed, and credited by the site as the solution.