Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections
Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections
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DOI：
10.1093/imrn/rny267
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发表时间：
2017-07
影响因子：
1
通讯作者：
Mei-Chu Chang;H. Nguyen;Oanh Nguyen;V. Vu
中科院分区：
文献类型：
--
作者：
Mei-Chu Chang;H. Nguyen;Oanh Nguyen;V. Vu
我们证明了在不同的随机族下，一般本征值的随机特征函数与平坦环面上给定的光滑曲线的交集个数的几个统计量是通用的。
We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve in flat tori are universal under various families of randomness.