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A Problem on Random Paths
Published online by Cambridge University Press: 03 November 2016
Extract
The general problem. This paper deals with particular cases of the following problem: A rectangular array of square cells is given; a particle P moves from one cell to another in such a way that, when it is in any cell, it is equally likely to pass across any of its edges. P is liberated in any given cell, and it is required to find the probability that it will ultimately emerge across any stated edge in the boundary of the array.
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- Copyright © Mathematical Association 1936
References
page no 311 note * Ball, W. W Rouse, Mathematical Recreations and Essays (9th ed., 1920), 135 Google Scholar; Borel, E., Calcul des Probabilités, Tome 1, Fasc. 1 (1925), Ch. VGoogle Scholar
page no 311 note † Rayleigh, , Scientific Papers, V, 256 Google Scholar.
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