Title: On the rank of symmetric random matrices
Speaker: Rahul Roy ISI, Delhi
Date: 17 July 2014
Time: 11:30 - 12:30 p.m.
Venue: Lecture Hall III, Department of Mathematics

We discuss the question of rank of symmetric and non-symmetric matrices when the entries are i.i.d. non-degenerate random variables. In particular we show that for an $n \times n$ symmetric matrix the probability that it is singular is of the order $O(n^{- (1/4) + \epsilon})$. This is joint work with Paulo Manrique and Victor Perez-Abreu.


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