NON SELF-ADJOINT LAPLACIANS ON A DIRECTED GRAPH
Résumé
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We analyse spectral properties of this Laplacian under a Kirchhoff assumption. Moreover we establish isoperimet-ric inequalities in terms of the numerical range to show the absence of the essential spectrum of the Laplacian on heavy end directed graphs.
Domaines
Théorie spectrale [math.SP]
Origine : Fichiers produits par l'(les) auteur(s)
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