Yunfeng Shi

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2026

Anderson localization and HÃ¶lder continuity of the integrated density of states for analytic quasiperiodic SchrÃ¶dinger operators

Hongyi Cao, Yunfeng Shi, Zhifei Zhang

We establish both Anderson localization and HÃ¶lder continuity of the integrated density of states for quasiperiodic SchrÃ¶dinger operators on $Z^{d}$ with any non-constant…

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 SchrÃ¶dinger 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 SchrÃ¶dinger operator $H_{I ¨} = - I^ + v_{n} I ¨ _{n} I^´_{n, n^{'}}$ , where $v_{n} = I^º∣ n ∣^{- I^\pm}$ and $Ï=\{Ï_n\}_{n\in\mathbb{Z…

Anderson localization and HÃ¶lder continuity of the integrated density of states for analytic quasiperiodic SchrÃ¶dinger operators

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

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

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