Geometric probabilities for non convex lattices. II

Andrei Duma; Marius Stoka

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 2, page 363-376
  • ISSN: 0392-4041

Abstract

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We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.

How to cite

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Duma, Andrei, and Stoka, Marius. "Geometric probabilities for non convex lattices. II." Bollettino dell'Unione Matematica Italiana 5-B.2 (2002): 363-376. <http://eudml.org/doc/196143>.

@article{Duma2002,
abstract = {We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.},
author = {Duma, Andrei, Stoka, Marius},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Buffon problem},
language = {eng},
month = {6},
number = {2},
pages = {363-376},
publisher = {Unione Matematica Italiana},
title = {Geometric probabilities for non convex lattices. II},
url = {http://eudml.org/doc/196143},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Duma, Andrei
AU - Stoka, Marius
TI - Geometric probabilities for non convex lattices. II
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/6//
PB - Unione Matematica Italiana
VL - 5-B
IS - 2
SP - 363
EP - 376
AB - We solve problems of Buffon type for a lattice with elementary tile a nonconvex polygon, using as test bodies a line sigment and a circle.
LA - eng
KW - Buffon problem
UR - http://eudml.org/doc/196143
ER -

References

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  1. DUMA, A., Problems of Buffon type for «non-small» needles, Rend. Circ. Mat. Palermo, Serie II, Tomo XLVIII (1999), 23-40. Zbl0944.60026MR1705108
  2. DUMA, A., Problems of Buffon type for «non-small» needles (II), Rev. Roum. Math. Pures Appl., Tome XLIII, 1-2 (1998), 121-135. Zbl0941.60022MR1655267
  3. DUMA, A.- STOKA, M., Geometric Probabilities for non Convex Lattices, Pub. Inst. Stat. Univ. Paris, XXXXIV, fasc. 1 (2000), 35-46. Zbl0967.60008MR1802310
  4. POINCARÉ, H., Calcul des probabilités, ed. 2, Carré, Paris, 1912. JFM27.0190.11
  5. RIZZO, S., Probabilità geometriche di tipo Buffon per reticoli con cellula fondamentale non convessa, Rend. Semin. Mat. Brescia, vol. 9 (1988), 1-17. Zbl0672.60024
  6. STOKA, M., Probabilités géométriques de type «Buffon» dans le plan euclidien, Atti Acc. Sci. Torino, vol. 110 (1975-1976), 53-59. Zbl0351.52005MR420777

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