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Hitting spheres by straight-line motion or Brownian motion

Published online by Cambridge University Press:  14 July 2016

E. G. Enns ,
B. R. Smith  and
P. F. Ehlers
E. G. Enns*
Affiliation:
University of Calgary
B. R. Smith*
Affiliation:
University of Calgary
P. F. Ehlers*
Affiliation:
University of Calgary
*
∗ Postal address: Department of Mathematics and Statistics, Faculty of Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4.
∗ Postal address: Department of Mathematics and Statistics, Faculty of Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4.
∗ Postal address: Department of Mathematics and Statistics, Faculty of Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta, Canada T2N 1N4.
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Abstract

Points randomly placed in Rn are independently assigned a speed and direction of motion. The time between collisions with a central n-sphere is obtained. If instead of straight-line motion the points perform Brownian motion, the analogous inter-collision-time distribution is obtained.

Keywords

FIRST-PASSAGE TIME
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 70 - 79
Copyright
Copyright © Applied Probability Trust 1984 

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