most citedSpectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions

24 citations

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2 papers

cond-mat.stat-mech2014★ 24 cited

Spectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions

Isaac Pérez Castillo

We compute the full order statistics of a one-dimensional gas of fermions in a harmonic trap at zero temperature, including its large deviation tails. The problem amounts to comput…

cond-mat.stat-mech2014★ 7 cited

Phase transitions in the condition number distribution of Gaussian random matrices

Isaac Pérez Castillo, Eytan Katzav, Pierpaolo Vivo

We study the statistics of the condition number (the ratio between largest and smallest squared singular values) of Gaussian rando…