Differential equations isolate N-dependent terms in edge density expansions for classical random matrix ensembles, yielding explicit correction terms at the hard edge.
URL https://arxiv.org/abs/2505.09865
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Correction terms in soft-edge asymptotics for gap probabilities are multilinear forms in higher derivatives of the leading term, with rational polynomial coefficients independent of the generating variable.
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Edge density expansions for the classical Gaussian and Laguerre ensembles
Differential equations isolate N-dependent terms in edge density expansions for classical random matrix ensembles, yielding explicit correction terms at the hard edge.
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Asymptotic Expansions of Gaussian and Laguerre Ensembles at the Soft Edge III: Generating Functions
Correction terms in soft-edge asymptotics for gap probabilities are multilinear forms in higher derivatives of the leading term, with rational polynomial coefficients independent of the generating variable.