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| start [2023/01/13 14:10] – ngilliers | start [2023/03/09 15:09] (current) – ngilliers | ||
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| - | ====== Non-commutative independences ====== | + | ========= Non-commutative independences |
| - | {{:imt_logo.jpg?400|}} | + | ---- |
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| + | 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. | ||
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| + | 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 | ||
| - | * $\varepsilon$ freeness | + | |
| - | * bmt independence | + | * Matricial freeness |
| + | |||
| + | == Mixtures: == | ||
| + | |||
| + | | ||
| + | * $\Lambda$ Boolean | ||
| + | * [[bm|Boolean-Monotone 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.1673619027.txt.gz · Last modified: 2023/01/13 14:10 by ngilliers