On the singularity probability of random Bernoulli matrices
组合数学
2008-08-06 v2
摘要
Let be a large integer and be a random by matrix whose entries are i.i.d. Bernoulli random variables (each entry is with probability 1/2). We show that the probability that is singular is at most , improving an earlier estimate of Kahn, Koml\'os and Szemer\'edi, as well as earlier work by the authors. The key new ingredient is the applications of Freiman type inverse theorems and other tools from additive combinatorics.
引用
@article{arxiv.math/0501313,
title = {On the singularity probability of random Bernoulli matrices},
author = {Terence Tao and Van Vu},
journal= {arXiv preprint arXiv:math/0501313},
year = {2008}
}
备注
30 pages, no figures. This is the final version