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The separation of variables for product networks

Author
Arauz, C.; Carmona, A.; Encinas, A.; Mitjana, M.
Type of activity
Presentation of work at congresses
Name of edition
Workshop on Graph Spectra, Combinatorics and Optimization
Date of publication
2018
Presentation's date
2018-01-26
Book of congress proceedings
Book of abstracts: 2018 WGSCO: Workshop on Graph Spectra, Combinatorics and Optimization
Project funding
La resistencia efectiva como herramienta para el estudio del problema inverso de las conductancias y el análisis de las perturbaciones de redes
URL
http://wgsco2018.web.ua.pt Open in new window
Abstract
Boundary value problems have been treated both in the discrete and the continuous case. In both settings, the consideration of eigenvalues and eigenfunction as well as the Green function are common tools. However, the separation of variables technique, that is very popular in the continuous case, has not been developed for networks. In this work, we deal with the discrete version of separation of variables in order to obtain the Green function for product networks. We will show how the Green f...
Keywords
Eigenvalues, Green funcion, Product networks, Schrödinger operators
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

Participants