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Uniqueness of electrical currents in a network of finite total resistance.

Authors :
Georgakopoulos, Agelos
Source :
Journal of the London Mathematical Society. Aug2010, Vol. 82 Issue 1, p256-272. 17p. 4 Diagrams.
Publication Year :
2010

Abstract

We show that if the sum of the resistances of an electrical network N is finite, then there is a unique electrical current in N, provided that we do not allow, in a sense made precise in the paper, any flow to escape to infinity. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
00246107
Volume :
82
Issue :
1
Database :
Academic Search Index
Journal :
Journal of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
52347983
Full Text :
https://doi.org/10.1112/jlms/jdq034