HAL (France)
open access
Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials
We study the moments of | det (H -E)| q and the large deviations of the corresponding reduced intensive log spectral determinant e for random matrix operators with Laplacian and random-potential terms. For large N and real q > -1, we obtain a closed saddle-point characterization of the exponentia
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