NDLI: Concentration of Random Determinants and Permanent Estimators

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Costello, Kevin P. Vu, Van
Copyright Year	2009
Abstract	We show that the absolute value of the determinant of a matrix with random independent (but not necessarily i.i.d.) entries is strongly concentrated around its mean. As an application, we show that GodsilGutman and Barvinok estimators for the permanent of a strictly positive matrix give subexponential approximation ratios with high probability. A positive answer to the main conjecture of the paper would lead to polynomial approximation ratios in the above problem.
Starting Page	1356
Ending Page	1371
Page Count	16
File Format	PDF
ISSN	08954801
DOI	10.1137/080733784
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	3
Volume Number	23
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2009-09-04
Access Restriction	Subscribed
Subject Keyword	random matrix Combinatorial probability singular values determinant
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Concentration of Random Determinants and Permanent Estimators