Large deviations for disordered bosons and multiple orthogonal polynomial ensembles

Details Large deviations for disordered bosons and multiple orthogonal polynomial ensembles Large deviations for disordered bosons and multiple orthogonal polynomial ensembles

2011-02-03

arxiv.org/abs/1102.0792v1

Physics

Mathematical Physics

20 pages

Scientific paper

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.

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