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Green operators of networks with a new vertex
dc.contributor.author | Carmona Mejías, Ángeles |
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Gago Álvarez, Silvia |
dc.contributor.author | Mitjana Riera, Margarida |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-02-10T13:59:21Z |
dc.date.available | 2016-02-10T13:59:21Z |
dc.date.issued | 2016-02 |
dc.identifier.citation | Carmona, A., Encinas, A., Gago, S., Mitjana, M. Green operators of networks with a new vertex. "Linear algebra and its applications", Febrer 2016, vol. 491, p. 419-433. |
dc.identifier.issn | 0024-3795 |
dc.identifier.uri | http://hdl.handle.net/2117/82783 |
dc.description.abstract | Any elliptic operator defines an automorphism on the orthogonal subspace to the eigenfunctions associated with the lowest eigenvalue, whose inverse is the orthogonal Green operator. In this study, we show that elliptic Schrödinger operators on networks that have been obtained by adding a new vertex to a given network, can be seen as perturbations of the Schrödinger operators on the initial network. Therefore, the Green function of the new network can be computed in terms of the Green function of the original network. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Stochastic differential equations |
dc.subject.other | Discrete elliptic operators Green function Perturbations Networks |
dc.title | Green operators of networks with a new vertex |
dc.type | Article |
dc.subject.lemac | Equacions diferencials estocàstiques |
dc.contributor.group | Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.subject.ams | Classificació AMS::60 Probability theory and stochastic processes |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0024379515006758 |
dc.rights.access | Open Access |
local.identifier.drac | 17405899 |
dc.description.version | Preprint |
local.citation.author | Carmona, A.; Encinas, A.; Gago, S.; Mitjana, M. |
local.citation.publicationName | Linear algebra and its applications |
local.citation.volume | 491 |
local.citation.startingPage | 419 |
local.citation.endingPage | 433 |
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