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The Semicircle Law, Free Random Variables and Entropy
About this Title
Fumio Hiai, Tohoku University, Aoba-ku, Sendai, Japan and Dénes Petz, Technical University of Budapest, Budapest, Hungary
Publication: Mathematical Surveys and Monographs
Publication Year:
2000; Volume 77
ISBNs: 978-0-8218-4135-8 (print); 978-1-4704-1304-0 (online)
DOI: https://doi.org/10.1090/surv/077
MathSciNet review: MR1746976
MSC: Primary 46L54; Secondary 60B12, 81S25
Table of Contents
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Front/Back Matter
Chapters
- Overview
- 1. Probability laws and noncommutative random variables
- 2. The free relation
- 3. Analytic function theory and infinitely divisible laws
- 4. Random matrices and asymptotically free relation
- 5. Large deviations for random matrices
- 6. Free entropy of noncommutative random variables
- 7. Relation to operator algebras