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

Alice Guionnet, Jonathan Husson, Jana Reker

Source record

Source: arXiv

Published: Oct 18, 2026

arXiv: 2610.25353

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Source abstract

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

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