关于随机格中N个最短向量间夹角的分布
On the distribution of angles between the N shortest vectors in a random lattice
摘要：
我们确定的联合分布的长度，和之间的角度，在一个随机的n维格N最短的格向量n趋于无穷大。此外，我们还用平坦环面上拉普拉斯算子的本征值和本征函数来解释结果。最后，我们讨论了随机n维格的任意有限个连续极小点在n趋于无穷大时的极限分布。
英文摘要：
We determine the joint distribution of the lengths of, and angles between, the N shortest lattice vectors in a random n-dimensional lattice as n tends to infinity. Moreover we interpret the result in terms of eigenvalues and eigenfunctions of the Laplacian on flat tori. Finally we discuss the limit distribution of any finite number of successive minima of a random n-dimensional lattice as n tends to infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
