{
  "annotation_id": "a6ddbdad-8eda-4c9e-a196-0bc90f229a2a",
  "date_created": "2026-02-17T05:53:23.678000Z",
  "date_modified": "2026-02-17T05:53:23.678000Z",
  "file_hash": "46bc1412d69e7a0b14c09dd0259b05b5aa7e3847b3fe1f7be6ccd7787dadd473",
  "private": false,
  "record": {
    "abstract": "We study finite-rank normal deformations of rotationally invariant non-Hermitian random matrices. Extending the classical Baik-Ben Arous-P\\\u0027ech\\\u0027e (BBP) framework, we characterize the emergence and fluctuations of outlier eigenvalues in models of the form $\\mathbf{A} + \\mathbf{T}$, where $\\mathbf{A}$ is a large rotationally invariant non-Hermitian random matrix and $\\mathbf{T}$ is a finite-rank normal perturbation. We also describe the corresponding eigenvector behavior. Our results provide a unified framework encompassing both Hermitian and non-Hermitian settings, thereby generalizing several known cases.",
    "arxiv_id": "2601.10427",
    "authors": [
      "Pierre Bousseyroux",
      "Marc Potters"
    ],
    "categories": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "The eigenvalues and eigenvectors of finite-rank normal perturbations of large rotationally invariant non-Hermitian matrices",
    "url": "https://arxiv.org/abs/2601.10427",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "466dedb6-1066-4dfd-8fd6-a2baa96f04df",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}