Asymptotic Level Spacing Of The Laguerre Ensemble : A Coulomb Fluid Approach

@inproceedings{Chen2008AsymptoticLS,
  title={Asymptotic Level Spacing Of The Laguerre Ensemble : A Coulomb Fluid Approach},
  author={Yujun Chen and Sarah M. Manning},
  year={2008}
}
We determine the asymptotic level spacing distribution for the Laguerre Ensemble in a single scaled interval, (0, s), containing no levels, Eβ(0, s), via Dyson’s Coulomb Fluid approach. For the α = 0 Unitary-Laguerre Ensemble, we recover the exact spacing distribution found by both Edelman and Forrester, while for α 6= 0, the leading terms of E2(0, s), found by Tracy and Widom, are reproduced without the use of the Bessel kernel and the associated Painlevé transcendent. In the same… CONTINUE READING

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