On the limiting distribution for the length of the longest alternating sequence in a random permutation.
A system of differential equations for the Airy process.
Asymptotic inversion of convolution operators
Matrix kernels for the Gaussian orthogonal and symplectic ensembles
We derive the limiting matrix kernels for the Gaussian orthogonal and symplectic ensembles scaled at the edge, with proofs of convergence in the operator norms that ensure convergence of the determinants.
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