Morneau-Guérin, Frédéric (2026). A note on Erdős matrices and Marcus-Ree inequality [compte rendu de l'ouvrage de Kushwaha, Aman et Tripathi, Raghavendra]. Mathematical Reviews.
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| Catégorie de document : | Comptes rendus d'ouvrages |
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| Évaluation par un comité de lecture : | Oui |
| Étape de publication : | Publié |
| Résumé : | The present article advances this line of research in three distinct directions. First, the authors employ an algorithm previously developed by Tripathi to obtain a full characterization of E_4. They then discuss several problems and conjectures that naturally arise during the investigation of this class of bistochastic matrices. They also provide numerical results and/or heuristics for these problems and conjectures. Second, they show that for every n greater than or equal to 3 and every alpha in (0, (n-1)/4), there exist uncountably many symmetric matrices A in Omega_n satisfying \Delta_n(A) = alpha. This answers a question posed by Triphathi. Third, they extend the Marcus-Ree inequality to infinite bistochastic arrays and to bistochastic kernels. |
| Informations complémentaires : | © Copyright American Mathematical Society 2026 |
| Déposant: | Morneau-Guérin, Frédéric |
| Responsable : | Frédéric Morneau-Guérin |
| Dépôt : | 20 fevr. 2026 14:13 |
| Dernière modification : | 25 fevr. 2026 00:50 |
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