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cond-mat.stat-mech2014
Large deviations of the shifted index number in the Gaussian ensemble
Isaac Pérez Castillo
We show that, using the Coulomb fluid approach, we are able to derive a rate function of two variables that captures: (i) the large deviations of bulk eigenvalues; (ii) th…
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.dis-nn2014★ 14 cited
Spectral density of products of Wishart dilute random matrices. Part I: the dense case
Thomas Dupic, Isaac Pérez Castillo
In this work we study the spectral density of products of Wishart diluted random matrices of the form using the Edwards-Jones trick to map this…