Publications (20)
On the quasi-Ablowitz-Segur and quasi-Hastings-McLeod solutions of the inhomogeneous Painlevé II equation
Dan Dai, Weiying Hu
Competitive Inner-Imaging Squeeze and Excitation for Residual Network
Yang Hu, Guihua Wen, Mingnan Luo +3
Painleve IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight
Dan Dai, Arno B. J. Kuijlaars
Uniform Asymptotics of Orthogonal Polynomials Arising from Coherent States
Dan Dai, Weiying Hu, Xiang-Sheng Wang
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
Asymptotics of partition functions in a fermionic matrix model and of related $q$-polynomials
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
Asymptotics of the partition function of a Laguerre-type random matrix model
Yi Zhao, Lihua Cao, Dan Dai
The distribution function for the maximal height of $N$ non-intersecting Bessel paths
Dan Dai, Luming Yao
The paper derives an explicit formula for the distribution of the highest point reached by N non‑intersecting Bessel paths that start at a point a≥0 and end at the origin, using Ha…
Asymptotics of orthogonal polynomials and the Painlevé transcendents
Dan Dai
Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential
Dan Dai, Shuai-Xia Xu, Lun Zhang
Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
Shuai-Xia Xu, Dan Dai
Stochastic Region Pooling: Make Attention More Expressive
Mingnan Luo, Guihua Wen, Yang Hu +2
Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
Painlevé VI and Hankel determinants for the generalized Jacobi Weight
Dan Dai, Lun Zhang
Existence and Uniqueness of Tronquée Solutions of the Third and Fourth Painlevé Equations
Yu Lin, Dan Dai, Pieter Tibboel
Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials
Yang Chen, Dan Dai
Metabolize Neural Network
Dan Dai, Zhiwen Yu, Yang Hu +2
Connection formulas for the Ablowitz-Segur solutions of the inhomogeneous Painlevé II equation
Dan Dai, Weiying Hu