Universal edge scaling in random partitions

  title={Universal edge scaling in random partitions},
  author={Taro Kimura and Ali Zahabi},
  journal={arXiv: Statistical Mechanics},
We establish the universal edge scaling limit of random partitions with the infinite-parameter distribution called the Schur measure. We explore the asymptotic behavior of the wave function, which is a building block of the corresponding kernel, based on the Schr{\"o}dinger-type differential equation. We show that the wave function is in general asymptotic to the Airy function and its higher-order analogs in the edge scaling limit. We construct the corresponding higher-order Airy kernel and the… 

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