The rescaled smallest eigenvalues and localization centers of the stochastic Airy operator converge, as the inverse temperature tends to zero, to the atoms of a Poisson point process with intensity e^x e^{-t} dx dt, and the eigenfunctions collapse to Dirac masses.
Benaych-Georges and S
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The stochastic Airy operator at large temperature
The rescaled smallest eigenvalues and localization centers of the stochastic Airy operator converge, as the inverse temperature tends to zero, to the atoms of a Poisson point process with intensity e^x e^{-t} dx dt, and the eigenfunctions collapse to Dirac masses.