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Typical Ground States for Large Sets of Interactions
Journal of Statistical Physics ( IF 1.6 ) Pub Date : 2020-09-29 , DOI: 10.1007/s10955-020-02647-4
Aernout van Enter , Jacek Miȩkisz

We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic interactions is similar to that of generic measures. In particular, it follows from his observation that they have singular spectrum and that they are weak mixing, but not mixing.

中文翻译:

大型相互作用集的典型基态

我们讨论通用交互的基态是什么样的。我们注意到最近的一个结果,由于莫里斯,暗示一般相互作用的基态测量的行为类似于一般测量的行为。特别是,根据他的观察,它们具有奇异的光谱并且它们是弱混合,但不是混合。
更新日期:2020-09-29
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