Janossy Densities of Coupled Random Matrices

Details Janossy Densities of Coupled Random Matrices Janossy Densities of Coupled Random Matrices

2003-09-05

arxiv.org/abs/math-ph/0309019v4

Physics

Mathematical Physics

We revised the introduction and added a couple of new references

Scientific paper

10.1007/s00220-004-1177-5

We explicitly calculate Janossy densities for a special class of finite determinantal point processes with several types of particles introduced by Pr\"ahofer and Spohn and, in the full generality, by Johansson in connection with the analysis of polynuclear growth models. The results of our paper generalize the theorem we proved earlier with Borodin about the Janossy densities in biorthogonal ensembles. In particular, our results can be applied to coupled random matrices.

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