3 papers
math.PR2024
Repeated erfc statistics for deformed GinUEs
Dang-Zheng Liu, Lu Zhang
For an additive perturbation of the complex Ginibre ensemble under a deterministic matrix , under certain assumption on , we observe that there are only two kinds of loca…
math.PR2023
Critical edge statistics for deformed GinUEs
Dang-Zheng Liu, Lu Zhang
For the complex Ginibre ensemble subjected to an additive perturbation by a deterministic normal matrix , we establish that under specific spectral conditions on , only t…
math.PR2022
Phase transition of eigenvalues in deformed Ginibre ensembles
Dang-Zheng Liu, 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 . When some…