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Equilibrium measures on finite networks. Effective resistance and hitting time

Autor
Carmona, A.; Bendito, E.; Encinas, A.
Tipus d'activitat
Article en revista
Revista
Electronic notes in discrete mathematics
Data de publicació
2001
Volum
10
Pàgina inicial
68
Pàgina final
71
Projecte finançador
El mètode de carregues extremals en la resolució de problemes de contorns discrets. Aplicacións a dos problemes d'interés teconológic.(Ref: BFM2000-1063)
Repositori
http://hdl.handle.net/2117/106041 Obrir en finestra nova
Resum
We aim here at showing how the equilibrium measures for a finite network can be used to obtain simple expressions for both Green and Poisson kernels and hence we can deduce nice expressions of the hitting time and the effective resistance. Also, we will give a new and simple proof, using equilibrium measures, of the algorithm that compute the resistive inverse of a effective resistance matrix.
Citació
Carmona, A., Bendito, E., Encinas, A. Equilibrium measures on finite networks. Effective resistance and hitting time. "Electronic notes in discrete mathematics", 2001, vol. 10, p. 68-71.
Paraules clau
Effective resistance, Equilibrium measure, Hitting time
Grup de recerca
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial