Random coverings

Leopold Flatto; Donald J. Newman

doi:10.1007/bf02392317

journal article Jan 01, 1977

Random coverings

Leopold Flatto Donald J. Newman

Acta Mathematica Vol. 138 pp. 241-264 · International Press of Boston

View at Publisher Save 10.1007/bf02392317

Topics

No keywords indexed for this article. Browse by subject →

References

13

[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.

[3]

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

[4]

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

[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. 10.1007/bf02764603

[7]

Gilbert, E. N., The probability of covering a sphere withN circular caps.Biometrika, 52 (1965), 323–330. 10.1093/biomet/52.3-4.323

[8]

Moran, P. A. P. &Fazekas de St. Groth, A., Random circles on a sphere,Biometrika, 49 (1962), 389–96. 10.1093/biomet/49.3-4.389

[9]

Shepp, L. A., Covering the circle with random arcs.Israel J. Math., 11 (1972), 328–345. 10.1007/bf02789327

[10]

Stevens, W. L., Solution to a geometric problem in probability.Ann. Eugen., 2 (1939), 315–320. 10.1111/j.1469-1809.1939.tb02216.x

[11]

Steutel, F. W., Random division of an interval.Statistika Neerlandica, (1967), 231–244. 10.1111/j.1467-9574.1967.tb00561.x

[12]

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

[13]

A Problem in Geometric Probability.

J. G. Wendel

MATHEMATICA SCANDINAVICA 1962 10.7146/math.scand.a-10655

Metrics

24

Citations

13

References

Details

Published: Jan 01, 1977
Vol/Issue: 138
Pages: 241-264

Authors

Cite This Article

Leopold Flatto, Donald J. Newman (1977). Random coverings. Acta Mathematica, 138, 241-264. https://doi.org/10.1007/bf02392317

Random coverings

You May Also Like