XXII.—Random Paths in Two and Three Dimensions
- 1 January 1940
- journal article
- conference paper
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh
- Vol. 60 (3) , 281-298
- https://doi.org/10.1017/s0370164600020265
Abstract
1. In a previous note (McCrea, 1936) the following problem was enunciated: A rectangular lattice is given; a particle P moves from one lattice-point to another in such a way that, when it is at any interior point, it is equally likely to move to any of its four neighbouring points. P is liberated at any given lattice-point and it is required to find the probability that it will ultimately reach any stated point in the boundary of the lattice, assuming that on arrival at a boundary point its movement ceases.Keywords
This publication has 2 references indexed in Scilit:
- A Problem on Random PathsThe Mathematical Gazette, 1936
- ber die partiellen Differenzengleichungen der mathematischen PhysikMathematische Annalen, 1928