Showing 2024Show all
2 papers · 1 filter
math-ph2024
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…
math.PR2024
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…