On the distribution of angles between the N shortest vectors in a random lattice
Number Theory
2014-02-26 v1 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.1012.3376,
title = {On the distribution of angles between the N shortest vectors in a random lattice},
author = {Anders Södergren},
journal= {arXiv preprint arXiv:1012.3376},
year = {2014}
}
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17 pages