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…