标题： 带有由双曲变换生成势的薛定谔算子：II. 大偏差和安德森局域化 显示英文标题

标题： Schrödinger Operators with Potentials Generated by Hyperbolic Transformations: II. Large Deviations and Anderson Localization

摘要： 我们考虑其势能由一致双曲变换轨道上的Hölder连续采样生成的一维离散Schrödinger算子。 对于满足适当有界扭曲性质的任何遍历测度，当采样函数局部常数或具有小的上确界范数时，我们在较大的能量区域内建立了统一的大偏差估计。 我们还证明了相关算子的完整谱Anderson局域化。 显示英文摘要

摘要： We consider discrete one-dimensional Schr\"odinger operators whose potentials are generated by H\"older continuous sampling along the orbits of a uniformly hyperbolic transformation. For any ergodic measure satisfying a suitable bounded distortion property, we establish a uniform large deviation estimate in a large energy region provided that the sampling function is locally constant or has small supremum norm. We also prove full spectral Anderson localization for the operators in question.