3 papers
math.AP2026
From Nash to Cournot--Nash equilibria via -convergence
João Miguel Machado, Guilherme Mazanti, Laurent Pfeiffer
This work addresses the issue of the convergence of an -player game towards a limit model involving a continuum of players, as the number of agents goes to infinity. More pr…
math.AP2026
Delay is Necessary for a Potential to Achieve Exponential Stabilization of the Wave Equation via Internal Control
Crédo Roselin Fanou, Kaïs Ammari, Islam Boussaada
In this work, we study the stabilization of the wave equation using an internal delayed potential. Interestingly, the stabilization mechanism is entirely induced by the delay, sinc…
math.OC2026
A mathematical framework for time-delay reservoir computing analysis
Anh-Tuan Clabaut, Jean Auriol, Islam Boussaada +1
Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental pro…