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Jacobi Matrices and Central Limit Theorems in Random Matrix Theory

Presented by: 
J Breuer Hebrew University of Jerusalem
Date: 
Monday 30th March 2015 - 12:30 to 13:30
Venue: 
INI Seminar Room 2
Abstract: 
The notion of an orthogonal polynomial ensemble generalizes many important point processes arising in random matrix theory, probability and combinatorics. The most famous example perhaps is that of the eigenvalue distributions of unitary invariant ensembles (such as GUE) of random matrix theory. Remarkably, the study of fluctuations of these point processes is intimately connected to the study of Jacobi matrices. This talk will review our recent joint work with Maurice Duits exploiting this connection to obtain central limit theorems for orthogonal polynomial ensembles.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons