Yunfeng Shi

collaborators

3 papers

math-ph2025

On localization for the alloy-type Anderson-Bernoulli model with long-range hopping

Shihe Liu, Yunfeng Shi, Zhifei Zhang

In this paper, we prove the Anderson localization near the spectral edge for some alloy-type Anderson-Bernoulli model on $Z^{d}$ with exponential long-range hopping. This ex…

math-ph2025

Extended states for the Random Schrödinger operator on $Z^{d}$ ( $d \geq 5$ ) with decaying Bernoulli potential

Shihe Liu, Yunfeng Shi, Zhifei Zhang

In this paper, we investigate the delocalization property of the discrete Schrödinger operator $H_{ω} = - Δ + v_{n} ω_{n} δ_{n, n^{'}}$ , where $v_{n} = κ ∣ n ∣^{- α}$ and $ω=\{ω_n\}_{n\in\mathbb{Z}^d}\in \…

math.AP2025

Anderson localized states for the nonlinear Maryland model on $Z^{d}$

Shihe Liu, Yunfeng Shi, Zhifei Zhang

In this paper, we investigate Anderson localization for a nonlinear perturbation of the Maryland model $H = ε Δ + cot π (θ + j \cdot α) δ_{j, j^{'}}$ on $Z^{d}$ . Specifically, if…

On localization for the alloy-type Anderson-Bernoulli model with long-range hopping

Extended states for the Random Schrödinger operator on Zd (d≥5) with decaying Bernoulli potential

Anderson localized states for the nonlinear Maryland model on Zd

Extended states for the Random Schrödinger operator on $Z^{d}$ ( $d \geq 5$ ) with decaying Bernoulli potential

Anderson localized states for the nonlinear Maryland model on $Z^{d}$