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

2015/03/03 by Credner, Katrin, Eichelsbacher, Peter
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1503.00984

Abstract

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.

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