Topics in Free Probability

Dan-Virgil Voiculescu


The presentation in the minicourse alternated between
general free probability background and specialized topics.


I. Some general free probability references

1. D. Voiculescu,K.Dykema and A.Nica, Free random variables, 
CRM Monograph Series 1 , AMS 1992

2. D. Voiculescu, Lectures on free probability, in Lecture Notes 
in Math. 1738 (Springer), 280 - 349

3. R. Speicher, Combinatorial theory of the free product with 
amalgamation ....., Memoirs AMS 627 (1998)


II. Some survey articles

1. D. Voiculescu, Free Entropy, Bull. London Math.Soc. 34 (2002), 
257 - 278, [preprint:OA/0103168]

2. D. Voiculescu, Free probability and the von Neumann algebras of 
free groups, Reports on Mathematical Physics vol. 55 (2005)


III. Some articles on specialized topics

1. D. Voiculescu, The topological version of free entropy, Letters 
Math. Phys. 6.2: 71 - 82 (2002), [preprint: OA/0209041]

2. P. Biane and D. Voiculescu, A free probability analogue of the 
Wasserstein metric on trace-state space, GAFA 11 (2001) 1125 - 1138, 
[preprint: OA/0006044]

3. D. Voiculescu, The coalgebra of the free difference quotient .....,
Internat. Math. Res. Notices 2 (2000) , 79 - 106 

4. D. Voiculescu, Cyclomorphy, Internat. Math. Res. Notices, 2002, 
No.6, 299 -332, [preprint: OA/0105096]