Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble

@article{Forrester2013DiffusionPA,
  title={Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble},
  author={Peter J. Forrester},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2013},
  volume={48}
}
  • P. Forrester
  • Published 18 June 2013
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
It is known that the bulk scaling limit of the real eigenvalues for the real Ginibre ensemble is equal in distribution to the rescaled t → ∞ ?> limit of the annihilation process A + A → ∅ ?> . Furthermore, deleting each particle at random in the rescaled t → ∞ ?> limit of the coalescence process A + A → A ?> , a process equal in distribution to the annihilation process results. We use these inter-relationships to deduce from the existing literature the asymptotic small and large distance form… 
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