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Asymptotic expansion of the hard-to-soft edge transition

Luming Yao & Lun Zhang

Annals of Applied Probability2026https://doi.org/10.1214/25-aap2260article
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Abstract

By showing that the symmetrically transformed Bessel kernel admits a full asymptotic expansion for large parameter, we establish a hard-to-soft edge transition expansion. This resolves a conjecture recently proposed by Bornemann.

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https://doi.org/https://doi.org/10.1214/25-aap2260

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@article{luming2026,
  title        = {{Asymptotic expansion of the hard-to-soft edge transition}},
  author       = {Luming Yao & Lun Zhang},
  journal      = {Annals of Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1214/25-aap2260},
}

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Asymptotic expansion of the hard-to-soft edge transition

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0.50

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F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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