32 citations · 52 across the 9 of their papers we have counts for
11 papers
Long-time stability for nonlinear Maryland models
Ruijie Cui, Zhiyan Zhao
For the dimensional nonlinear Maryland model \begin{equation}\label{eq-abs} \ri\partial_t q_n=\tanπ(n\cdot\varpi+x)q_n+ε(Δq)_n+|q_n|^2q_n,\quad n\in{\Z^d}, \end{equation} with…
Generalized Reducibility and Growth of Sobolev Norms
Zhenguo Liang, Zhiyan Zhao
We introduce the concept of {\it generalized reducibility}, which provides a flexible framework for analyzing the long-time behavior of solutions to quadratic quantum Hamiltonians.…
Ballistic Transport for Discrete Multi-Dimensional Schrödinger Operators With Decaying Potential
David Damanik, Zhiyan Zhao
We consider the discrete Schrödinger operator on with a decaying potential, in arbitrary lattice dimension , where is the s…
Symplectic Normal Form and Growth of Sobolev Norm
Zhenguo Liang, Jiawen Luo, Zhiyan Zhao
For a class of reducible Hamiltonian partial differential equations (PDEs) with arbitrary spatial dimensions, quantified by a quadratic polynomial with time-dependent coefficients,…
Almost reducibility and oscillatory growth of Sobolev norms
Zhenguo Liang, Zhiyan Zhao, Qi Zhou
For 1D quantum harmonic oscillator perturbed by a time quasi-periodic quadratic form of , we show its almost reducibility. The growth of Sobolev norms of so…
FocalClick: Towards Practical Interactive Image Segmentation
Xi Chen, Zhiyan Zhao, Yilei Zhang +3
Interactive segmentation allows users to extract target masks by making positive/negative clicks. Although explored by many previous works, there is still a gap between academic ap…