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Orthogonal and symplectic matrix models: universality and other properties

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010

September 14, 2010 (02:50 PM PDT - 03:30 PM PDT)
Speaker(s): Mariya Shcherbyna
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

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Abstract Orthogonal and symplectic matrix models with real analytic potentials and multi interval supports of the equilibrium measures will be discussed. For these models bulk universality of local eigenvalue statistics and bounds for the rate of convergence of linear eigenvalue statistics and for the variance of linear eigenvalue statistics are obtained. Moreover, the partition function logarithm up to the order O(1) is found.
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