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start [2023/01/19 15:25] – ngilliers | start [2023/03/09 15:09] (current) – ngilliers | ||
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- | ====== Non-commutative independences ====== | + | ========= Non-commutative independences |
- | {{:imt_logo.jpg?400|}} | + | ---- |
+ | |||
+ | This is a wiki dedicated to non-commutative independences. The objective is to build a '' | ||
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+ | |||
+ | I am listing here some non-commutative independences I am aware of (NG writing). Of course, do not hesitate to add to the list those missings, even if you do not have time/energy to write an entry about it. | ||
+ | |||
+ | You will find [[instructions | ||
== One state:== | == One state:== | ||
- | * Freeness | + | * Voiculescu' |
* Boolean independence | * Boolean independence | ||
* Monotone independence | * Monotone independence | ||
* Orthogonal independence | * Orthogonal independence | ||
* V Freeness | * V Freeness | ||
+ | * Freeness with subordination | ||
+ | * Matricial freeness | ||
- | == 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 | ||
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* Type II Bi-monotone | * Type II Bi-monotone | ||
* Boolean-free | * Boolean-free | ||
+ | {{: | ||
{{: | {{: | ||
start.1674141900.txt.gz · Last modified: 2023/01/19 15:25 by ngilliers