3 citations · 5 across the 8 of their papers we have counts for
8 papers
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-…
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…
Localization of interacting random particles with power-law long-range hopping
Wenwen Jian, Yingte Sun
In this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-l…
Anderson Localization for Long-Range operators with Singular Potentials
Wenwen Jian, Jia Shi, Xiaoping Yuan
In this paper, we use Cartan estimate for meromorphic functions to prove Anderson localization for a class of long-range operators with singular potenials.
Reducibility of the quantum harmonic oscillator in -dimensions with finitely differentiable perturbations
Wenwen Jian
In this paper, the -dimensional quantum harmonic oscillator with a pseudo-differential time quasi-periodic perturbation \begin{equation}\label{0} \text{i}\dotψ=(-Δ+V(x)+εW(ωt,x,…
Krylov--Bogolyubov averaging
Wenwen Jian, Sergei Kuksin, Yuan Wu
We present the modified approach to the classical Bogolyubov-Krylov averaging, developed recently for the purpose of PDEs. It allows to treat Lipschitz perturbations of linear syst…
Anderson localization for one-frequency quasi-periodic block operators with long-range interactions
Wenwen Jian, Yunfeng Shi, Xiaoping Yuan
In this paper, we study the quasi-periodic operators : where $$\vecψ=\{\vecψ_n\}\in\ell^2(\…
Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency
Wenwen Jian, Yunfeng Shi
In this paper, we study the non-self-dual extended Harper's model with a Liouville frequency. Based on the work of \cite{SY}, we show that the integrated density of states (IDS for…