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→∞.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Journal of the London Mathematical Society |
| Vol/bind | 84 |
| Udgave nummer | 3 |
| Sider (fra-til) | 749-764 |
| ISSN | 0024-6107 |
| Status | Udgivet - 2011 |