User Tools

Site Tools


start

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision
Previous revision
start [2023/01/19 14:29] ngilliersstart [2023/03/09 15:09] (current) ngilliers
Line 1: Line 1:
-====== Non-commutative independences ====== +========= Non-commutative independences ========= 
-{{:imt_logo.jpg?400|}}+---- 
 + 
 +This is a wiki dedicated to non-commutative independencesThe objective is to build a ''catalog'' with a few informations about each of them and bibliographical references. 
 + 
 + 
 +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 here]] some advices to write an entry.
  
 == One state:== == One state:==
  
-  * Freeness+  * Voiculescu'Freeness
   * 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+  * $\Lambda$ Freeness = $\varepsilon$ freeness
   * $\Lambda$ Boolean   * $\Lambda$ Boolean
-  * $\varepsilon$ freeness +  * [[bm|Boolean-Monotone independence]] 
-  * [[bm|bm independence]] +  * Boolean-free independence
-  * bf independence+
  
 == Two states:== == Two states:==
  
-  * Conditional freeness +  * Conditional Freeness 
-  * Conditional Monotone  +  * Conditional Monotone independence 
-  * Infinitesimal freeness+  * Infinitesimal Freeness
   * Infinitesimal Boolean   * Infinitesimal Boolean
   * Infinitesimal Monotone   * Infinitesimal Monotone
Line 35: Line 43:
   * Indented independence   * Indented independence
      
-== Two faces==+== Two faces==
       * Bi-freeness       * Bi-freeness
       * Bi-Boolean       * Bi-Boolean
Line 41: Line 49:
       * Type II Bi-monotone       * Type II Bi-monotone
       * Boolean-free       * Boolean-free
 +{{:imt_logo.jpg?400|}}
 {{:wiki:bitmap.png?200|}} {{:wiki:bitmap.png?200|}}
  
start.1674138567.txt.gz · Last modified: 2023/01/19 14:29 by ngilliers