4 papers
Anderson localization and Hölder continuity of the integrated density of states for analytic quasiperiodic Schrödinger operators
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
We establish both Anderson localization and Hölder continuity of the integrated density of states for quasiperiodic Schrödinger operators on with any non-constant…
Quantum ergodicity for Dirichlet-truncated operators on
Hongyi Cao, Shengquan Xiang
In this paper, we prove quantum ergodicity (a form of delocalization for eigenfunctions) for the Dirichlet truncations of the adjacency matrix on . We also extend the…
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 Lipsc…
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 mul…