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PreprintarXiv licencearXiv

Large deviations for the largest eigenvalue of a polynomial in Gaussian matrices

  • Alice Guionnet
  • Jonathan Husson
  • Jana Reker
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Abstract

In this article, we prove that the spectrum, the norm, and the largest eigenvalue of a self-adjoint polynomial P in k independent matrices from the GOE satisfy a large deviation principle.

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Cite

BibTeXRIS
BibTeX
@misc{guionnet2026large,
  title = {{Large deviations for the largest eigenvalue of a polynomial in Gaussian matrices}},
  author = {Alice Guionnet and Jonathan Husson and Jana Reker},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25353},
  eprint = {2610.25353},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25353},
}
RIS
TY  - UNPB
TI  - Large deviations for the largest eigenvalue of a polynomial in Gaussian matrices
AU  - Alice Guionnet
AU  - Jonathan Husson
AU  - Jana Reker
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.25353
UR  - https://arxiv.org/abs/2610.25353
AB  - In this article, we prove that the spectrum, the norm, and the largest eigenvalue of a self-adjoint polynomial P in k independent matrices from the GOE satisfy a large deviation principle.
ER  -