4 papers
Dispersion for the Schr{ö}dinger equation on the line with short-range array of delta potentials
Romain Duboscq, Ãlio Durand-Simonnet, Stefan Le Coz
We study dispersive properties of the one-dimensional Schr{ö}dinger equation with a short-range array of delta interactions. More precisely, we consider the self-adjoint operator…
Irrationality as a mean of regularization in Bayesian Persuasion
Romain Duboscq, Frédéric de Gournay
We study a regularized variant of the Bayesian Persuasion problem, where the receiver's decision process includes a divergence-based penalty that accounts for deviations from perfe…
Ground States of the Nonlinear Schr{ö}dinger Equation on the Tadpole Graph with a Repulsive Delta Vertex Condition
Romain Duboscq, Ãlio Durand-Simonnet, Stefan Le Coz
We consider the stationary nonlinear Schr{ö}dinger equation set on a tadpole graph with a repulsive delta vertex condition between the loop and the tail of the tadpole. We establi…
An asymptotic preserving scheme for the quantum Liouville-BGK equation
Romain Duboscq, Olivier Pinaud
We are interested in this work in the numerical resolution of the Quantum Liouville-BGK equation, which arises in the derivation of quantum hydrodynamical models from first princip…