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→∞. 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→∞.
| Original language | English |
|---|---|
| Journal | Journal of the London Mathematical Society |
| Volume | 84 |
| Issue number | 3 |
| Pages (from-to) | 749-764 |
| ISSN | 0024-6107 |
| Publication status | Published - 2011 |