Random matrices and integrable systems

March 4 - 9, 2012

Les Houches

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Marco Bertola, Concordia University, Montreal:

Asymptotic analysis of random matrices and orthogonal polynomials

In the course we discuss the application of the steepest descent analysis for Riemann-Hilbert problems to problems in random matrix theory and orthogonal polynomials. The first four lectures are based on work of Deift, Kriecherbauer, McLaughlin, Venakides and Zhou from 1999. In the second part we introduce extensions of these ideas to multiple orthogonal polynomials and multi-matrix models.
Slides


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