4 papers · 1 filter
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 with exponential long-range hopping. This ex…
Extended states for the Random Schrödinger operator on () with decaying Bernoulli potential
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we investigate the delocalization property of the discrete Schrödinger operator , where and $ω=\{ω_n\}_{n\in\mathbb{Z}^d}\in \…
Localization for Lipschitz monotone quasi-periodic Schrödinger operators on via Rellich functions analysis
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
We establish the Anderson localization and exponential dynamical localization for a class of quasi-periodic Schrödinger operators on with bounded or unbounded Lipsch…
On the spectrum of quasi-periodic Schrödinger operators on with -cosine type potentials
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we establish the Anderson localization, strong dynamical localization and the -Hölder continuity of the integrated density of states (IDS) for some mult…