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### 24.11.2009 (Tuesday)

#### Truncations of random unitary matrices and their eigenvalues

Regular Seminar Boris Khoruzhenko (Queen Mary)

 at: 14:00 Brunel U.room JC128 abstract: Choose at random a matrix from the unitary group and cut a square block from it. The obtained matrix is a random contraction. Such matrices appear in a variety of mathematical contexts and are also used for modelling physical processes. After surveying some of these applications, I will talk about universal statistical patterns in the distribution of eigenvalues of random contractions in the limit of infinite matrix dimension.