8 citations · 8 across the 6 of their papers we have counts for
6 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 an…
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 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…
Localization and Regularity of the Integrated Density of States for Schrödinger Operators on with -cosine Like Quasi-periodic Potential
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we study the multidimensional lattice Schrödinger operators with -cosine like quasi-periodic (QP) potential. We establish quantitative Green's function estimate…
Quantitative Green's Function Estimates for Lattice Quasi-periodic Schrödinger Operators
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we establish quantitative Green's function estimates for some higher dimensional lattice quasi-periodic (QP) Schrödinger operators. The resonances in the estimates c…