3 problems
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Borodin–Péché's generalized Wishart eigenvalue conjecture
The generalized Wishart ensemble is the -parameter random matrix ensemble introduced by Borodin and Péché, and a multivariate Bessel measure is the corresponding multilevel ei…
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Universality conjecture for even topological indices in Wishart-Laguerre ensembles
Universality conjecture. The universal relation above extends to and, in fact, to all higher even values of . This conjecture extends the expected microscopic large-…
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Baik–Ben Arous–Péché conjecture for the critical spiked real Wishart ensemble
Let be a real spiked Wishart matrix with covariance matrix … where is an real Gaussian matrix, , and the spike is tuned so that…