5 citations · 17 across the 15 of their papers we have counts for
18 papers
On the singularities of the spectral shift function for some tight-binding models
Marouane Assal, Olivier Bourget, Diomba Sambou +1
We consider perturbed discrete tight-binding models in describing union of quantum particles with localized interactions, where is…
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
Marouane Assal, Olivier Bourget, Pablo Miranda +1
We study the distribution of resonances for discrete Hamiltonians of the form near the thresholds of the spectrum of . Here, the unperturbed operator is a multic…
On non-selfadjoint operators with finite discrete spectrum
Olivier Bourget, Diomba Sambou, Amal Taarabt
We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schrödinger operators. We show that the perturbed operator exhibits finite discrete spect…
Asymptotic estimates of solutions to time-fractional diffusion equations with space-dependent variable order
Yavar Kian, Diomba Sambou, Eric Soccorsi
We examine the short and long-time behaviors of time-fractional diffusion equations with variable space-dependent order. More precisely, we describe the time-evolution of the solut…
Quantum time delay for unitary operators: general theory
Diomba Sambou, Rafael Tiedra de Aldecoa
We present a suitable framework for the definition of quantum time delay in terms of sojourn times for unitary operators in a two-Hilbert spaces setting. We prove that this time de…
On the spectral properties of non-selfadjoint discrete Schrödinger operators
Olivier Bourget, Diomba Sambou, Amal Taarabt
Let be a purely absolutely continuous selfadjoint operator acting on some separable infinite-dimensional Hilbert space and be a compact non-selfadjoint perturbation. We r…
Resonances on regular tree graphs
Olivier Bourget, Diomba Sambou, Amal Taarabt
We investigate the distribution of the resonances near spectral thresholds of Laplace operators on regular tree graphs with -fold branching, , perturbed by nonself-adj…
Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide
Yavar Kian, Diomba Sambou, Eric Soccorsi
We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to t…
Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields
Diomba Sambou, Amal Taarabt
We investigate the behaviour of the eigenvalues of two-dimensional Pauli operators with nonconstant magnetic fields perturbed by a sign-indefinite decaying electric potential V. We…
A criterion for the existence of non-real eigenvalues for a Dirac operator
Diomba Sambou
The aim of this work is to explore the discrete spectrum generated by complex perturbations in of the Dirac operator $α\cdot (-i\nabla - \te…
Spectral shift function and Resonances near the low ground state for Pauli and Schrödinger operators
Diomba Sambou
We study the spectral shift function (SSF) and the resonances of the operator in near the ori…
On eigenvalue accumulation for non-self-adjoint magnetic operators
Diomba Sambou
In this work, we use regularized determinant approach to study the discrete spectrum generated by relatively compact non-self-adjoint perturbations of the magnetic Schrödinger oper…
A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators
Diomba Sambou
In this work, we investigate the discrete spectrum generated by complex matrix-valued perturbations for a class of 2D and 3D Pauli operators with nonconstant magnetic fields. We es…
Counting function of magnetic resonances for exterior problems
Vincent Bruneau, Diomba Sambou
We study the asymptotic distribution of the resonances near the Landau levels , , of the Dirichlet (resp. Neumann, resp. Robin) realization in the…
Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators of full rank with constant magnetic fields
Diomba Sambou
We consider Dirac, Pauli and Schrödinger quantum magnetic Hamiltonians of full rank in , , perturbed by non-self-adjoint (matrix-valu…
Counting function of magnetic eigenvalues for non-definite sign perturbations
Diomba Sambou
We consider the perturbed operator , where is the d Hamiltonian of Pauli with non-constant magnetic field, and is \textit{a non-definite sign…
Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians
Diomba Sambou
We establish Lieb-Thirring type inequalities for non self-adjoint relatively compact perturbations of certain operators of mathematical physics. We apply our results to quantum Ham…
Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators
Diomba Sambou
Let and be respectively perturbations of the free Schrödinger operators on and $H_{0,\per…