# LARGE DEVIATIONS FOR THE LARGEST EIGENVALUE OF DISORDERED BOSONS AND DISORDERED FERMIONIC SYSTEMS

@article{Credner2015LARGEDF, title={LARGE DEVIATIONS FOR THE LARGEST EIGENVALUE OF DISORDERED BOSONS AND DISORDERED FERMIONIC SYSTEMS}, author={Katrin Renate Credner and Peter Eichelsbacher}, journal={arXiv: Mathematical Physics}, year={2015} }

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.

## 4 Citations

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This note provides a large deviations principle for a class of biorthogonal ensembles. We extend the results of Eichelsbacher, Sommerauer and Stotlz to more general type of interactions. Our result…

### Universality for Random Matrices with Equi-spaced External Source: A Case Study of a Biorthogonal Ensemble

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We prove the edge and bulk universality of random Hermitian matrices with equi-spaced external source. One feature of our method is that we use neither a Christoffel–Darboux type formula, nor a…

### A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles

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### Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail

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We prove precise deviations results in the sense of Cram\'er and Petrov for the upper tail of the distribution of the maximal value for a special class of determinantal point processes that play an…

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