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Morneau-Guérin, Frédéric (2026). A note on Erdős matrices and Marcus-Ree inequality [review of the book from Kushwaha, Aman, & Tripathi, Raghavendra]. Mathematical Reviews.
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Content : Published Version Restricted access till end- January 2029. |
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| Item Type: | Book Reviews |
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| Refereed: | Yes |
| Status: | Published |
| Abstract: | 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. |
| Additional Information: | © Copyright American Mathematical Society 2026 |
| Depositor: | Morneau-Guérin, Frédéric |
| Owner / Manager: | Frédéric Morneau-Guérin |
| Deposited: | 20 Feb 2026 14:13 |
| Last Modified: | 25 Feb 2026 00:50 |
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