2 papers
math.PR2026
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 with a spatial Gaussian white-noise potential, realized pathwise via quasi-…
math.SP2026
High-energy asymptotics for finite-interval Schrödinger operators with Gaussian white-noise potential
Yingdu Dong, Wenwen Jian, Xiaoping Yuan
We study the one-dimensional Schrödinger operator on a fixed interval with Gaussian white-noise potential, \[ H_ω=-\frac{\dd^2}{\dd x^2}+ρ\dot B_x(ω), \] under Dirichlet boundary c…