标题： 随机薛定谔算子的局域化，该算子由块因子定义 显示英文标题

标题： Localization for Random Schrödinger Operators Defined by Block Factors

摘要： 我们考虑离散的一维薛定谔算子，其随机势由应用于独立同分布随机变量序列的块码获得。 结果表明，几乎必然地，这些算子表现出谱和动力学的局域化，后者在有限数量的例外能量之外成立。 除了非平凡性假设外，我们不对潜在的随机变量的正则性，也不对块码的线性、单调性或连续性做出任何假设。 我们的证明关键在于通过Fubini将问题约简到非平稳Anderson模型。 显示英文摘要

摘要： We consider discrete one-dimensional Schr\"odinger operators with random potentials obtained via a block code applied to an i.i.d. sequence of random variables. It is shown that, almost surely, these operators exhibit spectral and dynamical localization, the latter away from a finite set of exceptional energies. We make no assumptions beyond non-triviality, neither on the regularity of the underlying random variables, nor on the linearity, the monotonicity, or even the continuity of the block code. Central to our proof is a reduction to the non-stationary Anderson model via Fubini.