On random $\pm 1$ matrices: Singularity and Determinant

Details On random $\pm 1$ matrices: Singularity and Determinant On random $\pm 1$ matrices: Singularity and Determinant

2004-11-04

arxiv.org/abs/math/0411095v5

Random Structures and Algorithms 28 (2006), 1-23

Mathematics

Combinatorics

25 pages, no figures. Slight numerical corrections to Lemma 2.2

Scientific paper

This papers contains two results concerning random $n \times n$ Bernoulli
matrices. First, we show that with probability tending to one the determinant
has absolute value $\sqrt {n!} \exp(O(\sqrt(n log n)))$. Next, we prove a new
upper bound $.939^n$ on the probability that the matrix is singular. We also
give some generalizations to other random matrix models.

Affiliated with

Also associated with

No associations

Rating

On random $\pm 1$ matrices: Singularity and Determinant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On random $\pm 1$ matrices: Singularity and Determinant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On random $\pm 1$ matrices: Singularity and Determinant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-278484