Large deviations for disordered bosons and multiple orthogonal polynomial ensembles

Abstract

We prove a large deviations principle for the empirical measures of a class of biorthogonal and multiple orthogonal polynomial ensembles that includes biorthogonal Laguerre, Jacobi and Hermite ensembles, the matrix model of Lueck, Sommers and Zirnbauer for disordered bosons, the Stieltjes-Wigert matrix model of Chern-Simons theory, and Angelesco ensembles.

20 pages

References in corpus (2)

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

Cited by in corpus (6)

• Weakly Admissible Vector Equilibrium Problems
• A large deviation principle for Wigner matrices without Gaussian tails
• Biorthogonal ensembles with two-particle interactions
• The local universality of Muttalib-Borodin biorthogonal ensembles with parameter $\theta =\frac{1}{2}$
• On Wright's generalized Bessel kernel
• Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble