# The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths

@inproceedings{Delvaux2014TheHE,
title={The hard edge tacnode process and the hard edge Pearcey process with non-intersecting squared Bessel paths},
author={Steven Delvaux and B'alint VetHo},
year={2014}
}
• Published 2 December 2014
• Mathematics
A system of non-intersecting squared Bessel processes is considered which all start from one point and they all return to another point. Under the scaling of the starting and ending points when the macroscopic boundary of the paths touches the hard edge, a limiting critical process is described in the neighborhood of the touching point which we call the hard edge tacnode process. We derive its correlation kernel in an explicit new form which involves Airy type functions and operators that act…

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