A maximum principle for node voltages in finitely structured, transfinite, electrical networks
type: Item
instance of: scholarly article
title: A maximum principle for node voltages in finitely structured, transfinite, electrical networks
zbMATH Open document ID: 0848.94023
DOI: 10.1007/BF00276698
published in: Potential Analysis
publication date: 1996-10-31T00:00:00Z
review text: A connected infinite electric network, consisting of voltage and current sources and positive resistors, need not possess unique node voltages if at least two nodes are connected through transfinite paths only, but not through finite ones. A previous work of the author gave a sufficient set of conditions for unique node voltages. In addition to this uniqueness, a maximum principle is introduced now, for the foundation of some future work of the author concerning random walks on transfinite networks.
reviewed by: András Recski
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 05C99
Mathematics Subject Classification ID: 31C45
zbMATH DE Number: 852868
zbMATH Keywords: infinite electric network
zbMATH Keywords: maximum principle
zbMATH Keywords: random walks
author: Armen H. Zemanian
MaRDI profile type: Publication
cites work: Charakterisierung der Graphen ohne unendliche Wege
cites work: Über die Maximalzahl fremder unendlicher Wege in Graphen
cites work: Transfinite Graphs and Electrical Networks
cites work: Connectedness in transfinite graphs and the existence and uniqueness of node voltages
cites work: Random walks on finitely structured transfinite networks
description: scientific article; zbMATH DE number 852868