# 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} }

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…

## One Citation

### Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel

- MathematicsStudies 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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