»ã±¨±êÌâ (Title)£ºGap probability for the hard edge Pearcey process£¨Ó²±ßPearcey¹ý³ÌµÄ¼ä϶¸ÅÂÊ£©

»ã±¨ÈË (Speaker)£ºÕÅÂØ ½ÌÊÚ£¨¸´µ©´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê8ÔÂ28ÈÕ (ÖÜÒ») 10:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

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ÌáÒª£ºThe hard edge Pearcey process is universal in random matrix theory and many other stochastic models. In this talk, we consider gap probabilityfor 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. This talk is based on joint works with Dan Dai, Shuai-Xia Xu and Luming Yao.