5 citations · 5 across the 3 of their papers we have counts for
5 papers
Small eigenvalues of the rough and Hodge Laplacians under fixed volume
Colette Anné, Junya Takahashi
For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed volume such that any positive eigenvalues of the rough and Hodge Laplacians acting…
Self-adjointness of magnetic laplacians on triangulations
Colette Anné, Hela Ayadi, Yassin Chebbi +1
The notions of magnetic difference operator defined on weighted graphs or magnetic exterior derivative are discrete analogues of the notionof covariant derivative on sections of a…
M-accretive Laplacian on a non symmetric graph
Colette Anné, Marwa Balti, Nabila Torki-Hamza
We consider a non self-adjoint Laplacian on a directed graph with non symmetric weights on edges. We give a criterion for the m-accretiveness and the m-sectoriality of this Laplaci…
Wildly perturbed manifolds: norm resolvent and spectral convergence
Colette Anné, Olaf Post
Since the publication of the important work of Rauch and Taylor (Potential and scattering theory on wildly perturbed domains, JFA, 1975) a lot has been done to analyse wild perturb…
Partial collapsing and the spectrum of the Hodge Laplacian
Colette Anné, Junya Takahashi
The goal of the present paper is to calculate the limit spectrum of the Hodge-de Rham operator under the perturbation of collapsing one part of a manifold obtained by gluing togeth…