Accesso libero

Partial Covering of a Sphere with Random Number of Spherical Caps

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012
INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] AGARWAL, R. P.: Difference Equations and Inequalities. Theory, Methods and Applications. Marcel Dekker, Inc., New York, 2000.10.1201/9781420027020Search in Google Scholar

[2] DWORETZKI, A.: On covering a circle by random placed arcs, Proc. Nat. Acad. Sci. 42 (1956), 199-203.10.1073/pnas.42.4.19952825116589849Search in Google Scholar

[3] DUMER, I.: Covering spheres with spheres, Discrete Comput. Geom. 38 (2007), 665-679.10.1007/s00454-007-9000-7Search in Google Scholar

[4] ELAYDI, S. N.: An Introduction to Difference Equations (3rd ed.), in: Undergrad. Texts Math., Springer, New York, 2005.Search in Google Scholar

[5] FLATTO, L.: Limit theorem for random covering a circle, Israel J. Math. 15 (1973), 167-184.10.1007/BF02764603Search in Google Scholar

[6] FLATTO, L.-NEWMAN, D. J.: Random coverings, Acta Math. 138 (1977), 241-264.10.1007/BF02392317Search in Google Scholar

[7] GILBERT, E. N.: Probability of covering a sphere with n circular caps, Biom. J. 52 (1965), 323-330.Search in Google Scholar

[8] GRONEK, T.: On the random dislocation of three circular caps on a surface of the sphere, Fasc. Math. 17 (1987), 109-117.Search in Google Scholar

[9] GRONEK, T.: The random dislocation of three circular caps with different radii on thesphere, Fasc. Math. 17 (1987), 119-136.Search in Google Scholar

[10] HOLST, L.: On the lenth of the pieces of a stick broken at random, J. Appl. Probab. 17 (1980), 623-643.10.2307/3212956Search in Google Scholar

[11] KELLERER, A. M.: On the number of clumps resulting from the overlap of randomlyplaced figures in a plane, J. Appl. Probab. 20 (1983), 126-135.10.2307/3213726Search in Google Scholar

[12] KELLEY, W. G.-PETERSON, A. C.: Difference Equations. An Introduction with Applications (2nd ed.). Academic Press, San Diego, 2001.Search in Google Scholar

[13] KENDALL, M.-MORAN, P.: Geometrical Probability. Griffin, London, 1963.Search in Google Scholar

[14] KOSCHITZKI, S.: Some stereological problems for random discs in R3, Math. Operationsforsch. Statist. Ser. Statist. 11 (1980), 75-83.Search in Google Scholar

[15] MAĆKOWIAK-ŁYBACKA, K.: Losowy podział kwadratu, Fasc. Math. 8 (1974), 95-104. (In Polish)Search in Google Scholar

[16] MAEHARA, H.: On the intersection graph of random caps on a sphere, European J. Combin. 25 (2004), 707-718.10.1016/j.ejc.2003.10.005Search in Google Scholar

[17] MAEHARA, H.: The length of the shortest edge of a graph on a sphere, European J. Combin. 23 (2002), 713-717.10.1006/eujc.2002.0598Search in Google Scholar

[18] MADRIA, K. V.: Statistics of Directional Data. Academic Press, New York, 1972.Search in Google Scholar

[19] MANNION, D.: Sequential random displacements of points in an interval, J. Appl. Probab. 20 (1983), 251-263.10.2307/3213799Search in Google Scholar

[20] MORAN, P.-FAZEKAS, S.: Random circles on a sphere, Biom. J. 49 (1962), 389-395.Search in Google Scholar

[21] SANTALO, L. A.: Integral Geometry and Geometric Probability. Addison-Wesley, London, 1976. Search in Google Scholar

[22] STEVENS, W. J.: Solution to a geometrical problem in probability, Ann. Eugen. 2 (1939), 315-320.10.1111/j.1469-1809.1939.tb02216.xSearch in Google Scholar

[23] SUGIMOTO, T.-TANEMURA, M.: Random sequential covering of a sphere with identicalspherical caps, Forma 16 (2001), 209-212.Search in Google Scholar

[24] YADIN, M.-ZAKS, S.: Random coverage of a circle with applications to a shadowingproblems, J. Appl. Probab. 19 (1982), 562-577.10.2307/3213514Search in Google Scholar

ISSN:
1210-3195
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics