English

Large deviations for disordered bosons and multiple orthogonal polynomial ensembles

Mathematical Physics 2015-05-27 v1 math.MP

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.

Cite

@article{arxiv.1102.0792,
  title  = {Large deviations for disordered bosons and multiple orthogonal polynomial ensembles},
  author = {Peter Eichelsbacher and Jens Sommerauer and Michael Stolz},
  journal= {arXiv preprint arXiv:1102.0792},
  year   = {2015}
}

Comments

20 pages

R2 v1 2026-06-21T17:21:22.594Z