2 papers
math.CA2026
Generalized Freud weight, discrete Painlevé I hierarchy and full asymptotics of Hankel determinants
Wen-Gao Long, Lin-Rong Tang, Chao Min
In this paper, we investigate the monic orthogonal polynomials and the Hankel determinants associated with the generalized Freud weight \[w(x;T…
math-ph2025
The multiplicative constant in asymptotics of higher-order analogues of the Tracy-Widom distribution
Dan Dai, Wen-Gao Long, Shuai-Xia Xu +2
In this paper, we are concerned with higher-order analogues of the Tracy-Widom distribution, which describe the eigenvalue distributions in unitary random matrix models near critic…