## Concentration of random determinants and permanent estimators

##### Authors
Costello, Kevin P.
Vu, Van
##### Description
We show that the absolute value of the determinant of a matrix with random independent (but not necessarily iid) entries is strongly concentrated around its mean. As an application, we show that the Godsil-Gutman and Barvinok estimators for the permanent of a strictly positive matrix give sub-exponential approximation ratios with high probability.
Comment: 17 pages, no figures
##### Keywords
Mathematics - Probability, 15A52