Concentration of random determinants and permanent estimators

Date
Authors
Costello, Kevin P.
Vu, Van
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
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
Citation
Collections