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math.PR2026
The spectrum of the stochastic Bessel operator at high temperature
Laure Dumaz, Hugo Magaldi
Ramírez and Rider (2009) established that the hard edge of the spectrum of the -Laguerre ensemble converges, in the high-dimensional limit, to the bottom of the spectrum of the…
math.PR2026
Long-Range Correlation of the Sine point Process
Laure Dumaz, Martin Malvy
We study the correlations of the celebrated Sine point process. This point process arises as the bulk scaling limit of -ensembles and has a geometric description through the…