Orthogonal and symplectic matrix models: universality and other properties

Details Orthogonal and symplectic matrix models: universality and other properties Orthogonal and symplectic matrix models: universality and other properties

2010-04-16

arxiv.org/abs/1004.2765v1

Physics

Mathematical Physics

26 pages

Scientific paper

We study orthogonal and symplectic matrix models with polynomial potentials and multi interval supports of the equilibrium measure. For these models we find the bounds (similar to the case of hermitian matrix models) for the rate of convergence of linear eigenvalue statistics and for the variance of linear eigenvalue statistics and find the logarithms of partition functions up to the order O(1). We prove also universality of local eigenvalue statistics in the bulk.

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