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Dvoretzky, A.: On covering a circle by randomly placed arcs. Proc. Nat. Acad. Sc. U.S.A. 42, 199–203 (1956).
Kahane, J.P.: Some random series of functions. Lexington, Mass.: D.C. Heath and Co. 1968.
Mandelbrot, B.: Renewal sets and random cutouts. Z. Wahrscheinlichkeitstheorie verw. Geb. 22, 145–157 (1972).
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A full solution of the Dvoretzky problem has since been obtained by L. A. Shepp, in a paper titled “Covering the circle with randon arcs”, to appear in Israel Journal of Mathematics. Also a partial solution different from mine has been obtained by S.Orey, in a paper titled “Random arcs on the circle” to appear in Journal d'Analyse.
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Mandelbrot, B.B. On Dvoretzky coverings for the circle. Z. Wahrscheinlichkeitstheorie verw Gebiete 22, 158–160 (1972). https://doi.org/10.1007/BF00532734
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DOI: https://doi.org/10.1007/BF00532734