Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials

Details Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials

2011-06-23

arxiv.org/abs/1106.4858v1

Physics

Mathematical Physics

25 pages, 2 figures

Scientific paper

We use the steepest descents method to study the integral kernel of a family of normal random matrix ensembles with eigenvalue distribution P_{N}(z_{1},...,z_{N}) = Z_{N}^{-1} e^{-N\Sigma_{i=1}^{N}V_{\alpha}(z_{i})} \Pi_{1\leqi

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