| Autor: |
Alonso-Gutiérrez, David, Bastero, Jesús |
| Rok vydání: |
2012 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We show that any random vector uniformly distributed on any hyperplane projection of $B_1^n$ or $B_\infty^n$ verifies the variance conjecture $$\text{Var}|X|^2\leq C\sup_{\xi\in S^{n-1}}\E^2\E|X|^2.$$ Furthermore, a random vector uniformly distributed on a hyperplane projection of $B_\infty^n$ verifies a negative square correlation property and consequently any of its linear images verifies the variance conjecture. |
| Databáze: |
arXiv |
| Externí odkaz: |
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