For one-cut regular random matrix ensembles, the edge-scaling limit of an average with a Fisher-Hartwig singularity is universal and is expressed through solutions of the Painlevé-XXXIV equation.
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Universality for random matrices with an edge spectrum singularity
For one-cut regular random matrix ensembles, the edge-scaling limit of an average with a Fisher-Hartwig singularity is universal and is expressed through solutions of the Painlevé-XXXIV equation.