Ci-dessous, les différences entre deux révisions de la page.
| Les deux révisions précédentes Révision précédente | |
| mega:seminaire [2026/03/10 09:24] – Raphaël BUTEZ | mega:seminaire [2026/03/10 17:39] (Version actuelle) – Raphaël BUTEZ |
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| * 14h00-15h00: Séminaire de **[[https://scholar.google.com/citations?user=lIsoXEsAAAAJ&hl=fr|Pierre Bousseyroux]]** // | * 14h00-15h00: Séminaire de **[[https://scholar.google.com/citations?user=lIsoXEsAAAAJ&hl=fr|Pierre Bousseyroux]]** // |
| .// \\ | Spectral boundaries and outliers of deformed deterministic matrices.// \\ |
| Abstract: | Abstract: This talk is a continuation of the mini-course by Marc Potters. We derive general results describing the spectral boundaries of matrices of the form A + B, where A is a large deterministic matrix and B is a rotationally invariant non-Hermitian random matrix. Describing the spectrum of A + B in full generality can be highly non-trivial. However, we show that the spectral edges of A + B, as well as possible outliers arising when A has finite rank, can be expressed in a remarkably simple way in terms of the two R-transforms associated with B, viewed as multi-valued functions. The level of mathematical rigor follows the standards of the physics literature, and the results should therefore be regarded as conjectural. |
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| * 15h30-16h30: Séminaire de **[[https://perso.eleves.ens-rennes.fr/people/charlie.herent/index.html|Charlie Herent]]** //Un théorème de Matsumoto--Yor à temps discret .// \\ | * 15h30-16h30: Séminaire de **[[https://perso.eleves.ens-rennes.fr/people/charlie.herent/index.html|Charlie Herent]]** //Un théorème de Matsumoto--Yor à temps discret .// \\ |