关于符号不定势积分态密度的Lipschitz连续性
On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
摘要：
本文研究随机Schroedinger算子的谱性质。利用Toeplitz矩阵的有限截面方法，证明了某些合金型模型的Wegner估计，其中单点势允许变号。结果也适用于相应的离散模型。在某些无序制度，我们能够证明Lipschitz连续性的集成密度的状态和/或本地化附近的光谱边缘。
英文摘要：
The present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate for some alloy type models where the single site potential is allowed to change sign. The results apply to the corresponding discrete model, too. In certain disorder regimes we are able to prove the Lipschitz continuity of the integrated density of states and/or localization near spectral edges.
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