论文标题
动态定义的矩阵的通用特征值统计
Universal Eigenvalue Statistics for Dynamically Defined Matrices
论文作者
论文摘要
我们考虑动态定义从倍增图的轨道产生的遗传矩阵。我们证明它们的光谱属于随机矩阵理论的GUE普遍性类别。
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.