THE ADJACENCY MATRIX AND THE DISCRETE LAPLACIAN ACTING ON FORMS
Language
en
Document de travail - Pré-publication
English Abstract
We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint. We discuss ...Read more >
We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint. We discuss the question of essential self-adjointness and the notion of completeness.Read less <
English Keywords
adjacency matrix
self-adjoint extension
locally finite graphs
discrete Laplacian
forms
ANR Project
Géométrie Spectrale, Graphes et Semiclassique - ANR-13-BS01-0007
Théories spectrales et de la diffusion pour des modèles de théorie quantique des champs - ANR-12-JS01-0008
Théories spectrales et de la diffusion pour des modèles de théorie quantique des champs - ANR-12-JS01-0008
Origin
Hal imported