DIFFUSION OUT OF A TRIANGLE.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
Pagination or Media Count:
A problem in molecular genetics called for the following result. If a particle is dropped at random on a right-angled isosceles triangle, and thus allowed to execute symmetrical Brownian motion, the chance that it will first leave the triangle via the hypotenuse is 0.41062. An inequality and two methods of deriving this probability are illustrated. The most useful source of solutions to diffusion problems of this kind is the torsion problem of elasticity. Author
- Statistics and Probability