| Issue |
ESAIM: ProcS
Volume 74, 2023
Journées MAS 2020 - Random Modelization and Physics
|
|
|---|---|---|
| Page(s) | 137 - 157 | |
| DOI | https://doi.org/10.1051/proc/202374137 | |
| Published online | 18 December 2023 | |
Random matrices and random graphs*
1
CNRS, Institut de Mathématiques de Toulouse (CNRS UMR 5219) and Université de Toulouse 3 Paul Sabatier
2
Centre Sciences des Données, Ecole Normale Supérieure
3
Ecole Polytechnique Fédérale de Lausanne
4
Institut de Mathématiques de Toulouse (CNRS UMR 5219) and Université de Toulouse 3 Paul Sabatier and Institut Universitaire de France (IUF)
5
Department of Mathematical Sciences, The University of Bath
We collect recent results on random matrices and random graphs. The topics covered are: fluctuations of the empirical measure of random matrices, finite-size effects of algorithms involving random matrices, characteristic polynomial of sparse matrices and Voronoi tesselations of split trees.
Résumé
Nous rassemblons des résultats récents sur les matrices et graphes aléatoires. Les sujets abordés sont : fluctuations de la mesure empirique de matrices aléatoires, effets de taille finie d’algorithmes impliquant des matrices aléatoires, polynôme caractéristique de matrices diluées et diagrammes de Voronoï d’arbres de fragmentation (split trees).
© EDP Sciences, SMAI 2023
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