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- W4225568558 abstract "Abstract We prove that the spectrum of the stochastic Airy operator is rigid in the sense of Ghosh and Peres [22] for Dirichlet and Robin boundary conditions. This proves the rigidity of the Airy-$beta $ point process and the soft-edge limit of rank-$1$ perturbations of Gaussian $beta $-Ensembles for any $beta>0$ and solves an open problem mentioned in [9]. Our proof uses a combination of the semigroup theory of the stochastic Airy operator and the techniques for studying insertion and deletion tolerance of point processes developed in [24]." @default.
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- W4225568558 date "2022-09-20" @default.
- W4225568558 modified "2023-10-16" @default.
- W4225568558 title "Rigidity of the Stochastic Airy Operator" @default.
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- W4225568558 doi "https://doi.org/10.1093/imrn/rnac265" @default.
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