[ABE-L] Seminário de Probabilidade - IM-UFRJ - 18/08/2025

[Maria Eulalia Vares]

Dear colleagues,

Our next seminar will be held on Monday, *August 18*, from 3:30 p.m. to
4:30 p.m. (Rio
de Janeiro local time). The meeting will take place at room C116- Bloco C -
CT –
*Instituto de Matemática – UFRJ.  *There will be no transmission online.

Speaker:  *Patrick de Oliveira Santos (NYU Abu Dhabi)*

Title: *Outliers of sparse Wigner matrices*

Abstract: Let $W$ be an $n \times n$ symmetric matrix with i.i.d. centered
entries
with variance one. The celebrated Wigner's theorem states that the
empirical law of
eigenvalues of $W$ converges weakly to the semicircular law, which is
supported on
$[-2,2]$. In addition, Bai and Yin proved that the largest eigenvalue of
$W$ converges
to 2 almost surely. In this case, we say that there are no outliers. In
this talk, we
explore the universality and stability of the Bai-Yin result. If we
sparsify $W$ according
to a regular graph $G$, can we find conditions under which there are no
outliers? This
is a joint work with Dylan Altschuler, Konstantin Tikhomirov, and Pierre
Youssef.


More complete information about the seminars can be found at
https://ppge.im.ufrj.br/seminarios-de-probabilidade/
Sincerely,
Organizers: Giulio Iacobelli and Maria Eulalia Vares


-- 
Maria Eulalia Vares
Professora Titular - Instituto de Matemática - UFRJ
Coordenadora do Programa de Pós-Graduação em Estatística
https://ppge.im.ufrj.br/
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