一维Anderson模型积分态密度的Hölder连续性
Hölder continuity of the integrated density of states in the one-dimensional Anderson model
摘要：
考虑一维随机Schrodinger算子H = H_0 + sigma V，其中V具有独立同分布.有界支持的条目。我们证明了IDS是霍尔德连续的指数为1-c sigma这改善了Bourgain的工作，表明霍尔德指数趋于1，因为sigma趋于0，在更具体的Anderson-Bernoulli设置。
英文摘要：
We consider the one-dimensional random Schrodinger operator H = H_0 + sigma V, where the potential V has i.i.d. entries with bounded support. We prove that the IDS is Holder continuous with exponent 1-c sigma This improves upon the work of Bourgain showing that the Holder exponent tends to 1 as sigma tends to 0 in the more specific Anderson-Bernoulli setting.
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