Dense kernel-based random graphs on a torus with Pareto weights have a limiting spectral measure, given by a free multiplicative convolution with the semicircle law for the product kernel, and the limit is absolutely continuous.
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The spectrum of dense kernel-based random graphs
Dense kernel-based random graphs on a torus with Pareto weights have a limiting spectral measure, given by a free multiplicative convolution with the semicircle law for the product kernel, and the limit is absolutely continuous.