100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Simon Coste

The characteristic polynomial of sparse random matrices
星期二, 16 五月, 2023 - 14:0015:00
Résumé : 

The eigenvalues of non-hermitian matrices with very few nonzero entries do not exhibit the same behaviour as their hermitian counterpart. In this talk I will expose these differences, then present a few results on the extremal eigenvalues and the log-characteristic polynomial of two models of sparse matrices, namely directed Erdos-Rényi graphs with constant average degree, and sums of random permutations. This is based on various works with Ludovic Stephan, Gaultier Lambert and Yizhe Zhu.

Institution de l'orateur : 
Paris 7
Thème de recherche : 
Salle : 
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