Analyse spectral du Laplacien discret agissant sur les cusps et les funnels
Language
en
Article de revue
This item was published in
Complex Analysis and Operator Theory. 2020-11-23
Springer Verlag
Abstract
Nous étudions le Laplacien agissant sur un cusp discret et un funnel discret. Nous ajoutons une perturbation longue-portée à la métrique. Puis, nous établissons un principe d'absorption limite en dehors des possibles valeurs ...Read more >
English Abstract
We study perturbations of the discrete Laplacian associated to discrete analogs of cusps and funnels. We perturb the metric and the potential in a long-range way. We establish a propagation estimate and a Limiting Absorption ...Read more >
English Keywords
commutator
Mourre estimate
limiting absorption principle
discrete Laplacian
locally finite graphs