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首页> 外文期刊>Annales Henri Poincare >Absolutely Continuous Spectrum for Random Schr?dinger Operators on Tree-Strips of Finite Cone Type
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Absolutely Continuous Spectrum for Random Schr?dinger Operators on Tree-Strips of Finite Cone Type

机译:有限锥型树带上随机薛定ding算子的绝对连续谱

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摘要

A tree-strip of finite cone type is the product of a tree of finite cone type with a finite set. We consider random Schr?dinger operators on these tree-strips, similar to the Anderson model. We prove that for small disorder, the spectrum is almost surely, purely, absolutely continuous in a certain set.
机译:有限锥类型的树带是有限锥类型的树与有限集的乘积。我们考虑在这些树形条上使用随机薛定ding算子,类似于安德森模型。我们证明,对于小疾病,频谱在某个集合中几乎可以肯定,纯粹,绝对连续。

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