The Airy_beta line ensemble is constructed for all beta>0 via explicit multi-time Laplace transform formulas, and it is shown to be the edge scaling limit of both the Dyson Brownian Motion and the Gaussian beta corners process.
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Airy$_\beta$ line ensemble and its Laplace transform
The Airy_beta line ensemble is constructed for all beta>0 via explicit multi-time Laplace transform formulas, and it is shown to be the edge scaling limit of both the Dyson Brownian Motion and the Gaussian beta corners process.