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Non-commutative independences

This is a wiki dedicated to non-commutative independences. The objective is to build a catalog with a few informations about each of them and bibliographical reference, with an emphasis on the various relations that may exists between them.

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:
  • Freeness
  • Boolean independence
  • Monotone independence
  • Orthogonal independence
  • V Freeness
  • freeness with subordination
  • matricial freeness
Mixtures
  • $\Lambda$ Freeness = $\varepsilon$ freeness
  • $\Lambda$ Boolean
  • bf independence
Two states:
  • Conditional freeness
  • Conditional Monotone
  • Infinitesimal freeness
  • Infinitesimal Boolean
  • Infinitesimal Monotone
  • Cyclic Monotone
  • Cyclic Boolean
  • Cyclic free
  • $O$ indepedendences
Three states:
  • Cyclic Conditional
  • Indented independence
Two faces
  • Bi-freeness
  • Bi-Boolean
  • Type I Bi-monotone
  • Type II Bi-monotone
  • Boolean-free

start.1678353230.txt.gz · Last modified: 2023/03/09 09:13 by ngilliers