Green operators of networks with a new vertex
| Autor: | Andrés M. Encinas, Silvia Gago, Margarida Mitjana, Angeles Carmona |
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| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes, Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| Rok vydání: | 2016 |
| Předmět: |
Vertex (graph theory)
0211 other engineering and technologies 0102 computer and information sciences 02 engineering and technology Correlation function (quantum field theory) 01 natural sciences Matemàtiques i estadística::Equacions diferencials i integrals [Àrees temàtiques de la UPC] Mathematics - Spectral Theory Semi-elliptic operator Operator (computer programming) FOS: Mathematics Discrete Mathematics and Combinatorics Spectral Theory (math.SP) Eigenvalues and eigenvectors 60 Probability theory and stochastic processes [Classificació AMS] Mathematics Equacions diferencials estocàstiques Discrete mathematics Numerical Analysis Algebra and Number Theory 35J10 05C50 15A60 35J08 021107 urban & regional planning Discrete elliptic operators Green function Perturbations Networks Mathematics::Spectral Theory Eigenfunction Operator theory Elliptic operator 010201 computation theory & mathematics Stochastic differential equations Geometry and Topology |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya instname UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2015.11.012 |
| Popis: | 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 Schrodinger operators on networks that have been obtained by adding a new vertex to a given network, can be seen as perturbations of the Schrodinger 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. |
| Databáze: | OpenAIRE |
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