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We study the level statistics for two classes of 1-dimensional randomSchr\"odinger operators : (1) for operators whose coupling constants decay asthe system size becomes large, and (2) for operators with critically decayingrandom potential. As a byproduct of (2) with our previous result \cite{KN}imply the coincidence of the limits of circular and Gaussian beta ensembles.

Level statistics for one-dimensional Schr\"odinger operators and Gaussian beta ensemble