Stochastic Airy operator soft-edge eigenvalue conjecture

Let kk be a positive integer, and let β\beta be the parameter of the stochastic Airy operator and of the soft edge distribution. Stochastic Airy soft-edge conjecture. The kkth least eigenvalue of the stochastic Airy operator follows the kkth soft edge distribution, with the same value for β\beta. This conjecture now appears to be a theorem, due to a proof of Ramírez, Rider, and Virág.

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Primary source

Alan Edelman and Brian D. Sutton, “From Random Matrices to Stochastic Operators”, arXiv:math-ph/0607038 (2006).

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