7 papers
Conditional thinning and multiplicative statistics of Laguerre-type orthogonal polynomial ensembles
Leslie Molag, Guilherme L. F. Silva, Lun Zhang
We study the local statistics of orthogonal polynomial ensembles near a hard edge, subject to a multiplicative deformation of the measure. Probabilistically, this deformation corre…
Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
Engui Fan, Gaozhan Li, Yiling Yang +1
In this paper, we consider the Cauchy problem for the defocusing nonlinear Schrdinger equation with a finite genus algebro-geometric background. Long-time asymptot…
Confluent hypergeometric kernel determinant on multiple large intervals
Taiyang Xu, Lun Zhang, Zhengyang Zhao
The confluent hypergeometric point process represents a universality class which arises in a variety of different but related areas. It particularly describes the local statistics…
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…
Mean eigenvector self-overlap in deformed complex Ginibre ensemble
Lu Zhang
Consider a random matrix of size as an additive deformation of the complex Ginibre ensemble under a deterministic matrix with a finite rank, independent of . We prove…
Bulk universality for deformed GinUEs
Lu Zhang
For the deformed complex Ginibre ensemble with a mean normal matrix, under certain assumptions on the mean matrix we prove that the same bulk statistics holds as in the complex Gin…
Spectral Integrals of Bernoulli Generalized Functionals
Jing Zhang, Caishi Wang, Lu Zhang +1
Let be the Gel'fand triple over the Bernoulli space, where elements of are called Bernoulli generalized fun…