Almost-sure quenched KAM tori for cubic NLS with a spatial white-noise potential

Yingdu Dong, Wenwen Jian, Xiaoping Yuan

Let \[ A_ω=-\partial_x^2+ρ\dot B_x(ω), \qquad ρ\ne0, \] be the Dirichlet Schrödinger operator on $(0,\pi )$ with a spatial Gaussian white-noise potential, realized pathwise via quasi-…