On Dvoretzky coverings for the circle

  • Benoit B. Mandelbrot


Stochastic Process Probability Theory Mathematical Biology 


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  1. 1.
    Dvoretzky, A.: On covering a circle by randomly placed arcs. Proc. Nat. Acad. Sc. U.S.A. 42, 199–203 (1956).Google Scholar
  2. 2.
    Kahane, J.P.: Some random series of functions. Lexington, Mass.: D.C. Heath and Co. 1968.Google Scholar
  3. 3.
    Mandelbrot, B.: Renewal sets and random cutouts. Z. Wahrscheinlichkeitstheorie verw. Geb. 22, 145–157 (1972).Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Benoit B. Mandelbrot
    • 1
  1. 1.IBM Thomas J.Watson Research CenterYorktown HeightsUSA

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