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math.PR2021
Rigidity of the Stochastic Airy Operator
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Wenxuan Li +1
We prove that the spectrum of the stochastic Airy operator is rigid in the sense of Ghosh and Peres (Duke Math. J., 166(10):1789--1858, 2017) for Dirichlet and Robin boundary condi…
math-ph2021
On Spatial Conditioning of the Spectrum of Discrete Random Schrödinger Operators
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Consider a random Schrödinger-type operator of the form acting on a general graph , where is the generator of a Markov proce…