The hidden landscape of wave localization

Abstract: Complexity of the geometry, randomness of the potential, and many other irregularities of the system can cause powerful, albeit quite different, manifestations of localization, a phenomenon of sudden confinement of waves to a small portion of the original domain. In the present talk we show that behind a possibly disordered system there exists a structure, referred to as a landscape function, which predicts the location and shape of the localized waves, a pattern of their decay, and delivers accurate bounds for the corresponding energies.

mathematical physicsanalysis of PDEs

Audience: researchers in the discipline

K-State Mathematics Department Women Lecture Series