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math-ph2023★ 2 cited
Asymptotic expansion of the hard-to-soft edge transition
Luming Yao, Lun Zhang
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 reso…
math-ph2023★ 1 cited
On the gap probability of the tacnode process
Luming Yao, Lun Zhang
The tacnode process is a universal determinantal point process arising from non-intersecting particle systems and tiling problems. It is the aim of this work to explore the integra…