论文标题
随机狄拉克运算符的状态密度的规律性
Regularity of the density of states for random Dirac operators
论文作者
论文摘要
我们考虑了我们在Arxiv中证明Anderson本地化的随机DIRAC操作员：1812.01868。我们使用该论文中获得的韦格纳估计值来证明Lipschitz的状态密度的规律性。由于在这种情况下对Schrödinger运营商的常规方法不起作用，因此我们根据Helffer-Sjöstrand公式提供了一种新的方法。
We consider the random Dirac operators for which we have proved Anderson localization in arXiv:1812.01868. We use the Wegner estimate we have got in that paper to prove Lipschitz regularity of the density of states. Since usual methods for Schrödinger operators do not work in this case, we give a new one based on the Helffer-Sjöstrand formula.
