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Shannon's monotonicity problem for free and classical entropy
We give a short unified proof of the following theorem, valid in the context of both classical probability theory and Voiculescu's free probability theory: let (X(j)((1)), …, X(j)((n))) be independent (resp., freely independent) n-tuples of random variables. Let Z(N)((p)) = N(−1/2)(X(1)((p)) +...
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| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
National Academy of Sciences
2007
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| Assuntos: | |
| Acesso em linha: | https://ncbi.nlm.nih.gov/pmc/articles/PMC2000542/ https://ncbi.nlm.nih.gov/pubmed/17881587 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0706451104 |
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