On the free convolution with a semi-circular distribution

Indiana University Mathematics Journal

Volumn 46, Issue 3, 1997, Pages 705-718

  Biane, Philippe ^a,b  

^a University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001583449     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1997.46.1467     Document Type: Article

References (9)

1. P. BIANE, Processes with free increments, Math. Zeit. (to appear).
2. H. BERCOVICI AND D. V. VOICULESCU, Free convolution of measures with unbounded support, Indiana University Mathematics Journal 42 (1993), 733-773.
3. M. DOUGLAS, Stochastic master field, Phys. Lett. B 344 (1995), 117-126.
4. H. MAASSEN, Addition of freely independent random variables, J. Funct. Anal. 106 (1992), 409-438.
5. R. SPEICHER, Free convolution and the random sum of matrices, Publ. R.I.M.S. Kyoto 29 (1993), 731-744.
6. D. V. VOICULESCU, Addition of certain non-commuting random variables, J. Funct. Anal. 66 (1986), 323-346.
7. D. V. VOICULESCU, Limit laws for random matrices and free products, Invent. Math. 104 (1991), 201-220.
8. D. V. VOICULESCU, The analogues of entropy and Fisher's information measure in free probability theory, I, Comm. Math. Phys. 155 (1993), 71-92.
9. D. V. VOICULESCU, K. DYKEMA AND A. NICA, Free random variables, CRM Monograph Series No. 1, Amer. Math. Soc., Providence, RI, 1992.