Uniqueness of electrical currents in a network of finite total resistance

• Autores: Agelos Georgakopoulos
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 1, 2010, págs. 256-272
• Idioma: inglés
• DOI: 10.1112/jlms/jdq034
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• Resumen

  • 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.