Concentration of random determinants and permanent estimators

Kevin P. Costello; Van Vu

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arXiv · 0905.1909

Concentration of random determinants and permanent estimators

Kevin P. Costello·Van Vu

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Abstract

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.

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Kevin P. Costello, Van Vu. 2009-05-12. Concentration of random determinants and permanent estimators. https://arxiv.org/abs/0905.1909

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