International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 383-392
doi:10.1155/S0161171297000495
Random processes with convex coordinates on triangular graphs
Department of Mathematical Sciences, Commonwealth University, Richmond 23284-2014, Virginia, USA
Received 28 September 1994
Copyright © 1997 J. N. Boyd and P. N. Raychowdhury. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Probabilities for reaching specified destinations and expectation values for
lengths for random walks on triangular arrays of points and edges are computed. Probabilities
and expectation values are given as functions of the convex (barycentric) coordinates of the
starting point.