Random Affine Lattices
Number Theory
2014-09-24 v1 Probability
Abstract
We give a bound on the probability that a randomly chosen affine unimodular lattice has large holes, and a similar bound on the probability of large holes in the spectrum of a random flat torus. We discuss various motivations and generalizations, and state several open questions.
Cite
@article{arxiv.1409.6355,
title = {Random Affine Lattices},
author = {Jayadev S. Athreya},
journal= {arXiv preprint arXiv:1409.6355},
year = {2014}
}
Comments
to appear, Contemporary Mathematics