Some distribution functions of the Laguerre ensemble

Y Chen; S M Manning

doi:10.1088/0305-4470/29/23/019

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Some distribution functions of the Laguerre ensemble

Y Chen·S M Manning

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Abstract

In this paper we revisit the smallest-eigenvalue distribution of the Laguerre ensembles by presenting in closed form certain integrals obtained previously. With this information we compute, using Dyson's continuum approximation, the two-smallest-eigenvalue distribution of the Laguerre ensemble. High-order contributions to the free energies describing these two probabilities in certain scaling limits or β\neq 2, which can be interpreted in this context as an entropic effect, are found.

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Y Chen, S M Manning. 1996-05-10. Some distribution functions of the Laguerre ensemble. https://doi.org/10.1088/0305-4470%2F29%2F23%2F019

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