26 citations · 46 across the 7 of their papers we have counts for
8 papers
Age-structured model of dengue transmission dynamics with time-varying parameters, and its application to Brazil
Ihtisham Ul Haq, Serge Richard
An age structured mathematical model with time dependent parameters is developed to investigate the dynamics of dengue transmission. Its properties are thoroughly analyzed in the f…
Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard
We consider dissipative Schroedinger operators of the form on , with a complex, bounded and decaying potential with a non-positive imaginary pa…
Topological Levinson's theorem and corrections at thresholds: the full picture in a quasi-1D example
T. T. Nguyen, D. Parra, S. Richard
Various threshold effects are investigated on a discrete quasi-1D scattering system. In particular, one of these effects is to add corrections to Levinson's theorem. We explain how…
Discrete time scattering and Wold's decomposition in pictures
Rafi Rizqy Firdaus, Serge Richard
Based on explicit computations, various concepts of discrete time scattering theory are reviewed, discussed, and illustrated. The dynamics are taking place on a discrete half-space…
Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrix
V. Austen, D. Parra, A. Rennie +1
A family of discrete Schroedinger operators is investigated through scattering theory. The continuous spectrum of these operators exhibit changes of multiplicity, and some of these…
Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological!
A. Alexander, D. T. Nguyen, A. Rennie +1
We prove a general Levinson's theorem for Schrödinger operators in two dimensions with threshold obstructions at zero energy. Our results confirm and simplify earlier seminal resul…