English

Bulk universality for deformed GinUEs

Probability 2024-03-26 v1

Abstract

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 Ginibre matrix bulk. This is the continuation of the previous joint papers ``Critical edge statistics for deformed GinUEs Preprint arXiv: 2311.13227v1'' and ``Repeated erfc statistics for deformed GinUEs Preprint arXiv: 2402.14362'', which deal with local eigenvalue statistics at the edge.

Cite

@article{arxiv.2403.16120,
  title  = {Bulk universality for deformed GinUEs},
  author = {Lu Zhang},
  journal= {arXiv preprint arXiv:2403.16120},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2402.14362, arXiv:2311.13227

R2 v1 2026-06-28T15:31:37.887Z