2 citations · 4 across the 5 of their papers we have counts for
6 papers
Sectoriality and essential spectrum of non symmetric graph Laplacians
Colette Anné, Marwa Balti, Nabila Torki-Hamza
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We give necessary conditions for this Laplacian to be sectorial. We introduce a specia…
The Gauß-Bonnet operator of an infinite graph
Colette Anné, Nabila Torki-Hamza
We propose a general condition, to ensure essential self-adjointness for the Gauß-Bonnet operator, based on a notion of completeness as Chernoff. This gives essential self-adjointn…
P-spectrum and collapsing of connected sums, calculus of the limit
Colette Anné, Junya Takahashi
The goal of the paper is to calculate the limit sectrum of the Hodge-Laplace operator under the perturbation of collapse of one part of a connected sum. This gives some new results…
Gaps in the differential forms spectrum on cyclic coverings
Colette Anné, Gilles Carron, Olaf Post
We are interested in the spectrum of the Hodge-de Rham operator on a cyclic covering over a compact manifold of dimension . Let be a hypersurface in which does…
A topological definition of the Maslov bundle
Colette Anné
We give a definition of the Maslov fibre bundle for a lagrangian submanifold of the cotangent bundle of a smooth manofold. This definition generelizes the definition given, in homo…
Bohr-Sommerfeld conditions for several commuting Hamiltonians
C. Anne, A-M. Charbonnel
The goal of this paper is to find the quantization conditions of Bohr-Sommerfeld of k quantum Hamiltonians acting on the euclidian space of dimension n, depending on a small parame…