On the spectral norm of Rademacher matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911108000907264 |
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| author | Latała, Rafał |
| author_facet | Latała, Rafał |
| contents | We discuss two-sided non-asymptotic bounds for the mean spectral norm of nonhomogenous weighted Rademacher matrices. We show that the recently formulated conjecture holds up to $\log \log \log n$ factor for arbitrary $n\times n$ Rademacher matrices and the triple logarithm may be eliminated for matrices with $\{0,1\}$-coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13656 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the spectral norm of Rademacher matrices Latała, Rafał Probability Functional Analysis Primary 60B20, Secondary 15B52, 46B09 We discuss two-sided non-asymptotic bounds for the mean spectral norm of nonhomogenous weighted Rademacher matrices. We show that the recently formulated conjecture holds up to $\log \log \log n$ factor for arbitrary $n\times n$ Rademacher matrices and the triple logarithm may be eliminated for matrices with $\{0,1\}$-coefficients. |
| title | On the spectral norm of Rademacher matrices |
| topic | Probability Functional Analysis Primary 60B20, Secondary 15B52, 46B09 |
| url | https://arxiv.org/abs/2405.13656 |