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

J. N. Boyd and P. N. Raychowdhury

 Department of Mathematical Sciences, Commonwealth University, Richmond 23284-2014, Virginia, USA
Received 28 September 1994

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.