We consider dynamically defined Hermitian matrices generated from orbits of the doubling map. We prove that their spectra fall into the GUE universality class from random matrix theory.

中文翻译：

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动态定义矩阵的通用特征值统计

我们考虑从倍增映射的轨道生成的动态定义的埃尔米特矩阵。我们从随机矩阵理论证明了它们的光谱属于 GUE 普适类。