Eigenvalue correlations on Hyperelliptic Riemann surfaces

Details Eigenvalue correlations on Hyperelliptic Riemann surfaces Eigenvalue correlations on Hyperelliptic Riemann surfaces

2002-01-10

arxiv.org/abs/math-ph/0201024v1

Physics

Mathematical Physics

latex 2e, seven pages, one figure. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/35/4/101

In this note we compute the functional derivative of the induced charge density, on a thin conductor, consisting of the union of g+1 disjoint intervals, $J:=\cup_{j=1}^{g+1}(a_j,b_j),$ with respect to an external potential. In the context of random matrix theory this object gives the eigenvalue fluctuations of Hermitian random matrix ensembles where the eigenvalue density is supported on J.

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