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Green functions on product networks
dc.contributor.author | Arauz Lombardía, Cristina |
dc.contributor.author | Carmona Mejías, Ángeles |
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.author | Mitjana Riera, Margarida |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-04-25T12:46:52Z |
dc.date.available | 2020-01-13T01:25:36Z |
dc.date.issued | 2018-01-01 |
dc.identifier.citation | Arauz, C. [et al.]. Green functions on product networks. "Discrete applied mathematics", Vol. 263, pp.22-34 |
dc.identifier.issn | 0166-218X |
dc.identifier.uri | http://hdl.handle.net/2117/132036 |
dc.description.abstract | We aim here at determining the Green function for general Schrödinger operators on product networks. The first step consists in expressing Schrödinger operators on a product network as sum of appropriate Schrödinger operators on each factor network. Hence, we apply the philosophy of the separation of variables method in PDE, to express the Green function for the Schrödinger operator on a product network using Green functions on one of the factors and the eigenvalues and eigenfunctions of some Schrödinger operator on the other factor network. We emphasize that our method only needs the knowledge of eigenvalues and eigenfunctions of one of the factors, whereas other previous works need the spectral information of both factors. We apply our results to compute the Green function of Pm×Sh , where Pm is a Path with m vertices and Sh is a Star network with h+1 vertices. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta |
dc.subject.lcsh | Computer science -- Mathematics |
dc.subject.other | Schrödinger operators |
dc.subject.other | Discrete potential theory |
dc.subject.other | Green functions |
dc.subject.other | Product networks |
dc.subject.other | Spectra |
dc.subject.other | Separation of variables |
dc.title | Green functions on product networks |
dc.type | Article |
dc.subject.lemac | Informàtica -- Matemàtica |
dc.contributor.group | Universitat Politècnica de Catalunya. MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial |
dc.identifier.doi | 10.1016/j.dam.2018.10.004 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0166218X18305122 |
dc.rights.access | Open Access |
local.identifier.drac | 23506974 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Arauz, C.; Carmona, A.; Encinas, A.; Mitjana, M. |
local.citation.publicationName | Discrete applied mathematics |
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