Wednesday, June 22, 2022 - 09:00 in ZOOM - Video Conference
Gap probability for the hard edge Pearcey process
A talk in the Seminar Zufallsmatrizen series by
Lun Zhang from Fudan University, Shanghai
| Abstract: |
The hard edge Pearcey process is universal in random matrix theory and many other stochastic
models. In this talk, we consider gap probability for the thinned/unthinned hard edge Pearcey
process over the interval (0, s).
By working on the relevant Fredholm determinants, we obtain an integral representation of the
gap probability via a Hamiltonian related a system of coupled differential equations and the large
gap asymptotics.
Moreover, we also establish asymptotic statistical properties of the counting function for the hard edge Pearcey process. Based on joint works with Dan Dai, Shuai-Xia Xu and Luming Yao.
Please contact Gernot Akemann (akemann@physik.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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