English

LDP for the largest eigenvalue of Kronecker random matrices

Probability 2025-12-19 v1

Abstract

We prove a large deviations principle for the largest eigenvalue of Gaussian Kronecker matrices, namely matrices defined as the sum of tensors of independent Gaussian matrices in the regime where the dimension of the Gaussian matrices goes to infinity.

Keywords

Cite

@article{arxiv.2512.15953,
  title  = {LDP for the largest eigenvalue of Kronecker random matrices},
  author = {Alice Guionnet and Jonathan Husson and Jana Reker},
  journal= {arXiv preprint arXiv:2512.15953},
  year   = {2025}
}

Comments

36 pages

R2 v1 2026-07-01T08:30:12.898Z