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math.PR2018
Large deviations principle for the largest eigenvalue of the Gaussian beta-ensemble at high temperature
Cambyse Pakzad
We consider the Gaussian beta-ensemble when scales with the number of particles such that . Under a certain regime for , we show that…
math.PR2018
Poisson statistics at the edge of Gaussian beta-ensembles at high temperature
Cambyse Pakzad
We study the asymptotic edge statistics of the Gaussian -ensemble, a collection of particles, as the inverse temperature tends to zero as tends to infinity. In a cer…