Random processes with convex coordinates on triangular graphs

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.

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Bibliographic Details
Main Authors: J. N. Boyd, P. N. Raychowdhury
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000495
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author J. N. Boyd
P. N. Raychowdhury
author_facet J. N. Boyd
P. N. Raychowdhury
author_sort J. N. Boyd
collection DOAJ
description 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.
format Article
id doaj-art-8bd269e2a96a4eb5b7996716906857f2
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1997-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8bd269e2a96a4eb5b7996716906857f22025-02-03T01:30:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120238339210.1155/S0161171297000495Random processes with convex coordinates on triangular graphsJ. N. Boyd0P. N. Raychowdhury1Department of Mathematical Sciences, Commonwealth University, Richmond 23284-2014, Virginia, USADepartment of Mathematical Sciences, Commonwealth University, Richmond 23284-2014, Virginia, USAProbabilities 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.http://dx.doi.org/10.1155/S0161171297000495random walkexpectation valuetrapconvex (barycentric) coordinates.
spellingShingle J. N. Boyd
P. N. Raychowdhury
Random processes with convex coordinates on triangular graphs
International Journal of Mathematics and Mathematical Sciences
random walk
expectation value
trap
convex (barycentric) coordinates.
title Random processes with convex coordinates on triangular graphs
title_full Random processes with convex coordinates on triangular graphs
title_fullStr Random processes with convex coordinates on triangular graphs
title_full_unstemmed Random processes with convex coordinates on triangular graphs
title_short Random processes with convex coordinates on triangular graphs
title_sort random processes with convex coordinates on triangular graphs
topic random walk
expectation value
trap
convex (barycentric) coordinates.
url http://dx.doi.org/10.1155/S0161171297000495
work_keys_str_mv AT jnboyd randomprocesseswithconvexcoordinatesontriangulargraphs
AT pnraychowdhury randomprocesseswithconvexcoordinatesontriangulargraphs