Autor: |
Marcelo Campos, Matthew Jenssen, Marcus Michelen, Julian Sahasrabudhe |
Jazyk: |
angličtina |
Rok vydání: |
2024 |
Předmět: |
|
Zdroj: |
Forum of Mathematics, Pi, Vol 12 (2024) |
Druh dokumentu: |
article |
ISSN: |
2050-5086 |
DOI: |
10.1017/fmp.2023.29 |
Popis: |
Let A be an $n \times n$ symmetric matrix with $(A_{i,j})_{i\leqslant j}$ independent and identically distributed according to a subgaussian distribution. We show that $$ \begin{align*}\mathbb{P}(\sigma_{\min}(A) \leqslant \varepsilon n^{-1/2} ) \leqslant C \varepsilon + e^{-cn},\end{align*} $$ |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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