Multiplication of free random variables and the s-transform: The case of vanishing mean

Electronic Communications in Probability

Volumn 12, Issue , 2007, Pages 248-258

  Rao, N Raj ^a   Speicher, Roland ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Free multiplicative convolution; Free probability; Random matrices

Indexed keywords

EID: 34548022664     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v12-1274     Document Type: Article

References (8)

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3. A. NICA AND R. SPEIOHER, A “Fourier transform” for multiplicative functions on non-crossing partitions, J. Algebraic Combin., 6 (1997), pp. 141-160.
4. A. NICA AND R. SPEICHER, Lectures on the Combinatorics of Free Probability, London Mathematical Society Lecture Note Series, New York: Cambridge University Press, 2006.
5. N. R. RAO, RMTool: A random matrix and free probability calculator in MATLAB. http://www.mit.edu/raj/rmtool/.
6. N. R. RAO AND A. EDELMAN, The polynomial method for random matrices. http://arxiv.org/math.PR/0601389, 2006.
7. D. VOICULESCU, Multiplication of certain noncommuting random variables, J. Operator Theory, 18 (1987), pp. 223-235.
8. D. VOICULESCU, K. DYKEMA, AND A. NICA, Free random variables, vol. 1 of CRM Monograph Series, American Mathematical Society, Providence, RI, 1992.