# Gap Probability for the Hard Edge Pearcey Process

@article{Dai2022GapPF,
title={Gap Probability for the Hard Edge Pearcey Process},
author={Dan Dai and Shuai‐Xia Xu and Lun Zhang},
journal={Annales Henri Poincar{\'e}},
year={2022},
pages={1-70}
}
• Published 10 April 2022
• Mathematics
• Annales Henri Poincaré
The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. This paper deals with the gap probability for the thinned/unthinned hard edge Pearcey process over the interval (0,  s ) by working on a $$3\times 3$$ 3 × 3 matrix-valued Riemann–Hilbert problem for the relevant Fredholm determinants. We establish an integral representation of the gap probability via the Hamiltonian related to a new system of coupled differential equations. Together with some…
1 Citations
• Mathematics
Studies in Applied Mathematics
• 2022
In this paper, we consider the deformed Fredholm determinant of the confluent hypergeometric kernel. This determinant represents the gap probability of the corresponding determinantal point process

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