Large deviations for disordered bosons and multiple orthogonal polynomial ensembles

DOI10.1063/1.3603994zbMath1317.60010arXiv1102.0792OpenAlexW3098919530MaRDI QIDQ5266097

Jens Sommerauer, Michael Stolz, Peter Eichelsbacher

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0792

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)

Related Items (13)

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities ⋮ Universality for random matrices with equi-spaced external source: a case study of a biorthogonal ensemble ⋮ On Wright's generalized Bessel kernel ⋮ Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures ⋮ Unified limits and large deviation principles for \(\beta\)-Laguerre ensembles in global regime ⋮ Selberg integral theory and Muttalib-Borodin ensembles ⋮ Logarithmic potential theory and large deviation ⋮ Weakly admissible vector equilibrium problems ⋮ Weakly admissible vector equilibrium problems ⋮ A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles ⋮ The local universality of Muttalib–Borodin biorthogonal ensembles with parameter $\theta = \frac{1}{2}$ ⋮ A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles ⋮ Vector energy and large deviation

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• A note on biorthogonal ensembles
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• Energy correlations for a random matrix model of disordered bosons
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• Schur polynomials and biorthogonal random matrix ensembles

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