21 citations · 64 across the 16 of their papers we have counts for
21 papers
The Spectral Shift Function for Non-Self-Adjoint Perturbations
Vincent Bruneau, Nicolas Frantz, François Nicoleau
This paper is devoted to the definition and analysis of the spectral shift function (SSF) associated with non-self-adjoint perturbations of self-adjoint operators. Motivated by app…
A Poincaré-Steklov map for the MIT bag model
Badreddine Benhellal, Vincent Bruneau, Mahdi Zreik
The purpose of this paper is to introduce and study Poincaré-Steklov (PS) operators associated to the Dirac operator with the so-called MIT bag boundary condition. In a domai…
Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians
Vincent Bruneau, Georgi Raikov
We consider the 3D Schrödinger operator with constant magnetic field of scalar intensity , and its perturbations (resp., ) obtained by imposing Dirichlet…
Eigenvalue and Resonance Asymptotics in perturbed periodically twisted tubes: Twisting versus Bending
Vincent Bruneau, Pablo Miranda, Daniel Parra +1
We consider the Dirichlet Laplacian in a three-dimensional waveguide that is a small deformation of a periodically twisted tube. The deformation is given by a bending and an additi…
Resonances near Thresholds in slightly Twisted Waveguides
Vincent Bruneau, Pablo Miranda, Nicolas Popoff
We consider the Dirichlet Laplacian in a straight three dimensional waveguide with non-rotationally invariant cross section, perturbed by a twisting of small amplitude. It is well…
Spectral Properties of Harmonic Toeplitz Operators and Applications to the Perturbed Krein Laplacian
Vincent Bruneau, Georgi Raikov
We consider harmonic Toeplitz operators where is the orthogonal projection onto ${\mathcal H}(Ω) = \l…