Green function on product networks

Conference object English OPEN
Arauz Lombardía, Cristina ; Carmona Mejías, Ángeles ; Encinas Bachiller, Andrés Marcos (2012)
  • Subject: product | :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC] | Green | spider network. | Green, Funcions de | Green's functions
    arxiv: Mathematics::Spectral Theory

Our objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schr odinger operator of the other factor network, which we consider that are known. Moreover, we use these results to obtain the Green function of spider networks in terms of Green functions over cicles and paths. Peer Reviewed
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