2 papers
math-ph2026
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…
math.SP2025
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…