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University of Cambridge > Talks.cam > Combinatorics Seminar > Random matrices: Universality of ESDs and the circular law

## Random matrices: Universality of ESDs and the circular lawAdd to your list(s) Download to your calendar using vCal - Van Vu (Rutgers University)
- Thursday 05 February 2009, 14:00-15:00
- MR12.
If you have a question about this talk, please contact Andrew Thomason. Given an n by n complex matrix $A$, let \mu(A) be the empirical spectral distribution (ESD) of its eigenvalues $\lambda_i, i=1, ..., n$. We consider the limiting distribution of the normalized ESD $\mu_{\frac{1}{\sqrt{n}} A_n}$ of a random matrix $A_n = (a_{ij}) As a corollary we establish the Circular Law conjecture in full generality. The proof combines ideas from several areas of mathematics: additive combinatorics, theoretical computer science, probability and high dimensional geometry. Joint work with Terence Tao. This talk is part of the Combinatorics Seminar series. ## This talk is included in these lists:- All CMS events
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