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Potential Theory on finite networks

Autor
Carmona, A.; Encinas, A.; Mitjana, M.
Tipus d'activitat
Article en revista
Revista
Electronic notes in discrete mathematics
Data de publicació
2014-09-16
Volum
46
Pàgina inicial
113
Pàgina final
120
DOI
https://doi.org/10.1016/j.endm.2014.08.016 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S1571065314000171 Obrir en finestra nova
Resum
We survey here some techniques from Potential Theory and show their use in electrical networks. We are focused on the linear aspect of the theory; that is, on the analysis of singular an positive semidefinite Schrödinger operators and we show the relation between this class of operators and singular M-matrices, paying attention on the properties of superharmonic functions. We also apply these methods to establish some global results on the associated Markov chains
Paraules clau
Discrete Potential Theory
Grup de recerca
MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial