Random paths through convex bodies
- 1 April 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (02), 430-441
- https://doi.org/10.1017/s0021900200032939
Abstract
Summary Several mechanisms under which the randomness of straight line paths through convex bodies can arise are described. Some general results are given relating four of these mechanisms, and the corresponding distributions of the lengths of the straight line paths are found for the circle, the rectangle, and the cube.Keywords
This publication has 2 references indexed in Scilit:
- Probability of random paths across elementary geometrical shapesJournal of Applied Probability, 1965
- Mean free paths in a convex reflecting regionJournal of Applied Probability, 1965