Authors: Kolesnik Alexander
Abstract
We consider the random motion at constant finite speed in the space R
3 subject to the control
of a homogeneous Poisson process and with uniform choice of directions on the unit 3-sphere.
We obtain the explicit forms of the conditional characteristic function and conditional distribution when one change of direction occurs. We show that this conditional distribution represents a discontinuous term of the transition function of the motion.
E-mail:
Fulltext
–
0.10 Mb