On the permanent of random Bernoulli matrices

Details On the permanent of random Bernoulli matrices On the permanent of random Bernoulli matrices

2008-04-15

arxiv.org/abs/0804.2362v3

Mathematics

Combinatorics

Scientific paper

We show that the permanent of an $n \times n$ matrix with iid Bernoulli
entries $\pm 1$ is of magnitude $n^{({1/2}+o(1))n}$ with probability $1-o(1)$.
In particular, it is almost surely non-zero.

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