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start [2023/03/09 09:13] – ngilliers | start [2023/03/09 15:09] (current) – ngilliers | ||
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- | ====== Non-commutative independences ====== | + | ========= Non-commutative independences ========= |
+ | ---- | ||
- | + | This is a wiki dedicated to non-commutative independences. The objective is to build a '' | |
- | This is a wiki dedicated to non-commutative independences. The objective is to build a '' | + | |
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== One state:== | == One state:== | ||
- | * Freeness | + | * Voiculescu' |
* Boolean independence | * Boolean independence | ||
* Monotone independence | * Monotone independence | ||
* Orthogonal independence | * Orthogonal independence | ||
* V Freeness | * V Freeness | ||
- | * freeness | + | * Freeness |
- | * matricial | + | * Matricial |
- | == Mixtures == | + | == Mixtures: == |
* $\Lambda$ Freeness = $\varepsilon$ freeness | * $\Lambda$ Freeness = $\varepsilon$ freeness | ||
* $\Lambda$ Boolean | * $\Lambda$ Boolean | ||
- | * [[bm|BM independence]] | + | * [[bm|Boolean-Monotone |
- | * bf independence | + | * Boolean-free |
== Two states:== | == Two states:== | ||
- | * Conditional | + | * Conditional |
- | * Conditional Monotone | + | * Conditional Monotone |
- | * Infinitesimal | + | * Infinitesimal |
* Infinitesimal Boolean | * Infinitesimal Boolean | ||
* Infinitesimal Monotone | * Infinitesimal Monotone | ||
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* Indented independence | * Indented independence | ||
| | ||
- | == Two faces== | + | == Two faces: == |
* Bi-freeness | * Bi-freeness | ||
* Bi-Boolean | * Bi-Boolean |
start.1678353238.txt.gz · Last modified: 2023/03/09 09:13 by ngilliers