freeness
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- | ======== Freeness ======== | + | ========= Freeness ========= |
+ | ---- | ||
- | ===== Definition | + | <typo font-size: |
+ | </ | ||
- | **Definition** [Freeness [(: | ||
- | ] | ||
Let $\mathcal{A}$ be a unital complex algebra equipped with a linear functional $\psi: | Let $\mathcal{A}$ be a unital complex algebra equipped with a linear functional $\psi: | ||
\psi(a_1\cdots a_n) = 0.$$ | \psi(a_1\cdots a_n) = 0.$$ | ||
- | ===== Models ====== | ||
+ | ===== - Models ===== | ||
- | ** Theorem ** | ||
- | Let $R>0$ and, for each $N\geq 1$, let $U_N$ be a Haar distributed unitary random matrix. Then, for any $P\in \mathbb{C}\langle X_k, | ||
- | + | Let $R > 0$ a real number. For each $N\geq 1$, let $U_N$ be a Haar distributed unitary random matrix. Then, for any $P\in \mathbb{C}\langle X_k, | |
- | + | ||
- | + | ||
- | + | ||
- | [(: | + | |
- | title : Multiplication | + | |
- | author | + | |
- | journal | + | |
- | pages : 223--235 | + | |
- | year : 1987 | + | |
- | publisher : JSTOR | + | |
- | )] | + | |
freeness.1673616645.txt.gz · Last modified: 2023/01/13 13:30 by ngilliers