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

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.

29 pages

References in corpus (3)

• Energy correlations for a random matrix model of disordered bosons
• Large deviations for random matrix ensembles in mesoscopic physics
• Symmetry classes in random matrix theory

Cited by in corpus (1)

• Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble