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math-ph2026
Anderson localisation in infinite and finite resonator crystals with long-range interactions
Habib Ammari, Xin Fu, Wenjia Jing +2
We establish Anderson localisation for random capacitance operators and quantify concentration of individual modes of finite capacitance matrices for clusters of subwavelength high…
math-ph2024
Nonlinear subwavelength resonances in three dimensions
Habib Ammari, Thea Kosche
In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelen…