Large deviations for the largest eigenvalue of disordered bosons and disordered fermionic systems

We prove a large deviations principle for the largest eigenvalue of a class of biorthogonal and multiple orthogonal polynomial ensembles that includes a matrix model of Lueck, Sommers and Zirnbauer for disordered bosons and Angelesco ensembles. Moreover we consider matrix ensembles in mesoscopic physics.