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Random coverings

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Acta Mathematica

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References

  1. Bromwich, T. J.,An introduction to the theory of infinite series, Second edition, McMillan and Co., 1959.

  2. Coddington, E. A. &Levinson, N.,Theory of ordinary differential equations. McGraw-Hill, New York, 1955.

    MATH  Google Scholar 

  3. Coxeter, H. S. M.,Regular polytopes. Methuen & Co., Ltd., London, 1948.

    MATH  Google Scholar 

  4. Erdös, P. &Renyi, A., On a classical problem in probability theory.Magyar Tud. Akad. Kutato Int. Közl., 6 (1961), 215–219.

    MATH  Google Scholar 

  5. Feller, W.,An introduction to probability Theory and its Applications, Vol. 1. Second edition, John Wiley & Sons, 1957.

  6. Flatto, L., A limit theorem for random coverings of a circle.Israel J. Math., 15 (1973), 167–184.

    MATH  MathSciNet  Google Scholar 

  7. Gilbert, E. N., The probability of covering a sphere withN circular caps.Biometrika, 52 (1965), 323–330.

    MATH  MathSciNet  Google Scholar 

  8. Moran, P. A. P. &Fazekas de St. Groth, A., Random circles on a sphere,Biometrika, 49 (1962), 389–96.

    MATH  MathSciNet  Google Scholar 

  9. Shepp, L. A., Covering the circle with random arcs.Israel J. Math., 11 (1972), 328–345.

    MATH  MathSciNet  Google Scholar 

  10. Stevens, W. L., Solution to a geometric problem in probability.Ann. Eugen., 2 (1939), 315–320.

    MathSciNet  Google Scholar 

  11. Steutel, F. W., Random division of an interval.Statistika Neerlandica, (1967), 231–244.

  12. Stoker, J. J.,Differential geometry. Wiley-Interscience.

  13. Wendel, J. G., A problem in geometric probability.Math. Scand., 11 (1962), 109–11.

    MATH  MathSciNet  Google Scholar 

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Flatto, L., Newman, D.J. Random coverings. Acta Math 138, 241–264 (1977). https://doi.org/10.1007/BF02392317

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  • DOI: https://doi.org/10.1007/BF02392317

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