Continuous spectrum for a class of smooth mixing Schr"odinger operators
Continuous spectrum for a class of smooth mixing Schr"odinger operators
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一类平滑混合薛定谔算子的连续谱
DOI：
10.1017/etds.2017.26
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发表时间：
--
影响因子：
0.9
通讯作者：
Qu Yanhui
中科院分区：
文献类型：
--
作者：
Fayad Bassam;Qu Yanhui
我们给出了一个光滑体积保持混合动力系统的第一个例子，使得由该系统产生的势和Hölder采样函数定义的直线上的离散薛定谔算子几乎必然具有连续谱。
We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schrödinger operators on the line defined with a potential generated by this system and a Hölder sampling function have almost surely a continuous spectrum.