| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4667859 | Advances in Mathematics | 2007 | 10 Pages |
Abstract
We prove a free probability analog of a result of [S. Artstein, K. Ball, F. Barthe, A. Naor, Solution of Shannon's problem on monotonicity of entropy, J. Amer. Math. Soc. 17 (2004) 975-982]. In particular, we prove that if X1,X2,⦠are freely independent identically distributed random variables, then the functionnâ¦Ï(X1+â¯+Xnn) is monotone increasing for all n.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dimitri Shlyakhtenko,