论文标题

在平面托里上随机征函数的相交数量的浓度

Concentration of the number of intersections of random eigenfunctions on flat tori

论文作者

Nguyen, Hoi H.

论文摘要

我们表明,在二维平坦的托里中,一般特征值和给定平滑曲线的随机特征函数之间的相互作用数几乎是围绕其平均值的指数集中的,即使随机性不是高斯。

We show that in two dimensional flat tori the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve is almost exponentially concentrated around its mean, even when the randomness is not gaussian.

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