Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials

Yan Fyodorov, Pierre Le Doussal, Alexander Ossipov

We study the moments of $\overline{|\det (H-E){|}^q}$ and the associated large deviations of $\log |\det (H-E)|$ where $H$ are random matrix operators involving Laplace operators and r…